Worksheet: Converting Exponential Expressions to Logarithmic Form
In this worksheet, we will practice utilizing the relationship between logarithms and exponentials to convert an exponential expression to its logarithmic form.
Q1:
Express in 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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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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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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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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