# Worksheet: Converting Exponential Expressions to Logarithmic Form

Q1:

Express in logarithmic form.

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Q2:

Express in its equivalent logarithmic form.

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Q3:

Express in its equivalent logarithmic form.

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Q4:

Express in its equivalent logarithmic form.

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Q5:

Express in its equivalent logarithmic form.

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Q6:

Express in its equivalent logarithmic form.

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Q7:

Express in its equivalent logarithmic form.

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Q8:

Express in its equivalent logarithmic form.

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Q9:

Express in its equivalent logarithmic form.

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Q10:

Express in its equivalent logarithmic form.

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Q11:

Express in its equivalent logarithmic form.

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Q12:

Solve for .

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Q13:

Given that , find the value of .

Q14:

The value of an antique painting increases every year. The painting is currently worth , and it is expected to be worth in 8 years’ time.

Write an equation that can be used to find , the rate at which its value increases.

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Q15:

Solve for .

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Q16:

The population of a rare orchid declines by every year. There are currently only 99 of these orchids left, and conservationists predict that only 50 will be left in 5 years. Write an equation that can be used to find , the rate of decline.

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Q17:

Solve .

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Q18:

Find the solution set of and in .

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Q19:

Given that and , determine the value of .

Q20:

Find the solution set of in .

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Q21:

Given that , find .

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Q22:

Which of the following satisfies the equation ?

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Q23:

Determine the solution set of the equations and , given that it is a subset of .

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Q24:

Given that , determine the solution set of .

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Q25:

Find the solution set of and in .

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