# Worksheet: Solving Exponential Equations Using Logarithms

In this worksheet, we will practice using logarithms to solve exponential equations.

Q1:

Find, to the nearest hundredth, the value of for which .

Q2:

Use a calculator to find the value of for which . Give your answer correct to two decimal places.

Q3:

Given that and , where is an integer, determine the value of .

Q4:

Find the value of for which . Give your answer to the nearest tenth.

Q5:

Use a calculator to find the value of for which . Give your answer correct to two decimal places.

Q6:

Find the solution set to the equation . Give your answer to three decimal places.

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Q7:

Use a calculator to find the value of for which . Give your answer correct to two decimal places.

Q8:

Use a calculator to find the value of for which . Give your answer correct to two decimal places.

Q9:

Find the value of for which . Give your answer to the nearest hundredth.

Q10:

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Q11:

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Q12:

Estimate the solution of to one decimal place, given that and .

Q13:

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Q14:

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Q15:

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Q16:

Use a calculator to find the value of for which . Give your answer correct to two decimal places.

Q17:

Use a calculator to find the value of for which . Give your answer correct to two decimal places.

Q18:

Use a calculator to find the value of for which . Give your answer correct to two decimal places.

Q19:

Find the solution set of .

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Q20:

Use a calculator to find the value of for which . Give your answer correct to two decimal places.

Q21:

Solve for .

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Q22:

Solve for .

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Q23:

Given that , find the value of correct to the nearest hundredth.

Q24:

Given that , find the value of . If necessary, give your answer to 3 decimal places.