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Solving Exponential & Log Equations with Logarithms — Easy Worksheet 2
Grade 11 · MathSheets Name: ____________________ Date: __________
Solve for x. Round to the nearest hundredth unless the answer is a whole number.
How to solve
Isolate the exponential part, then take ln (or log) of both sides and use the power rule to bring the exponent down: ax = N gives x = ln(N) ÷ ln(a). For log equations, combine the logs into one, rewrite in exponential form, and reject any solution that makes the inside of a log zero or negative.
Example
Solve: 6x = 168
Answer: x = 2.86
✓ Correct!
Not quite. The answer is
💡 How to solve: Solving Exponential & Log Equations with Logarithms
Isolate the exponential part, then take ln (or log) of both sides and use the power rule to bring the exponent down: ax = N gives x = ln(N) ÷ ln(a). For log equations, combine the logs into one, rewrite in exponential form, and reject any solution that makes the inside of a log zero or negative.
Try a similar one
Solve: 3x = 185
✓ You've got it! Press Next to keep going. Not yet — the answer is . Read the steps above once more.
✓ Correct!
Not quite. The answer is
💡 How to solve: Solving Exponential & Log Equations with Logarithms
Isolate the exponential part, then take ln (or log) of both sides and use the power rule to bring the exponent down: ax = N gives x = ln(N) ÷ ln(a). For log equations, combine the logs into one, rewrite in exponential form, and reject any solution that makes the inside of a log zero or negative.
Try a similar one
Solve: 7x = 56
✓ You've got it! Press Next to keep going. Not yet — the answer is . Read the steps above once more.
✓ Correct!
Not quite. The answer is
💡 How to solve: Solving Exponential & Log Equations with Logarithms
Isolate the exponential part, then take ln (or log) of both sides and use the power rule to bring the exponent down: ax = N gives x = ln(N) ÷ ln(a). For log equations, combine the logs into one, rewrite in exponential form, and reject any solution that makes the inside of a log zero or negative.
Try a similar one
Solve: 6x = 143
✓ You've got it! Press Next to keep going. Not yet — the answer is . Read the steps above once more.
✓ Correct!
Not quite. The answer is
💡 How to solve: Solving Exponential & Log Equations with Logarithms
Isolate the exponential part, then take ln (or log) of both sides and use the power rule to bring the exponent down: ax = N gives x = ln(N) ÷ ln(a). For log equations, combine the logs into one, rewrite in exponential form, and reject any solution that makes the inside of a log zero or negative.
Try a similar one
Solve: 6x = 140
✓ You've got it! Press Next to keep going. Not yet — the answer is . Read the steps above once more.
✓ Correct!
Not quite. The answer is
💡 How to solve: Solving Exponential & Log Equations with Logarithms
Isolate the exponential part, then take ln (or log) of both sides and use the power rule to bring the exponent down: ax = N gives x = ln(N) ÷ ln(a). For log equations, combine the logs into one, rewrite in exponential form, and reject any solution that makes the inside of a log zero or negative.
Try a similar one
Solve: 7x = 36
✓ You've got it! Press Next to keep going. Not yet — the answer is . Read the steps above once more.
✓ Correct!
Not quite. The answer is
💡 How to solve: Solving Exponential & Log Equations with Logarithms
Isolate the exponential part, then take ln (or log) of both sides and use the power rule to bring the exponent down: ax = N gives x = ln(N) ÷ ln(a). For log equations, combine the logs into one, rewrite in exponential form, and reject any solution that makes the inside of a log zero or negative.
Try a similar one
Solve: 2x = 166
✓ You've got it! Press Next to keep going. Not yet — the answer is . Read the steps above once more.
✓ Correct!
Not quite. The answer is
💡 How to solve: Solving Exponential & Log Equations with Logarithms
Isolate the exponential part, then take ln (or log) of both sides and use the power rule to bring the exponent down: ax = N gives x = ln(N) ÷ ln(a). For log equations, combine the logs into one, rewrite in exponential form, and reject any solution that makes the inside of a log zero or negative.
Try a similar one
Solve: 3x = 62
✓ You've got it! Press Next to keep going. Not yet — the answer is . Read the steps above once more.
✓ Correct!
Not quite. The answer is
💡 How to solve: Solving Exponential & Log Equations with Logarithms
Isolate the exponential part, then take ln (or log) of both sides and use the power rule to bring the exponent down: ax = N gives x = ln(N) ÷ ln(a). For log equations, combine the logs into one, rewrite in exponential form, and reject any solution that makes the inside of a log zero or negative.
Try a similar one
Solve: 3x = 29
✓ You've got it! Press Next to keep going. Not yet — the answer is . Read the steps above once more.
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Solving Exponential & Log Equations with Logarithms — Easy Worksheet 2
Solve for x. Round to the nearest hundredth unless the answer is a whole number.