Questions

For the next three problems, rewrite the following exponential expressions as logarithms using the inverse relationship between exponential and logarithmic expressions.

1) Rewrite the exponential expression as a logarithm.

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2) Rewrite the exponential expression as a logarithm.

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3) Rewrite the exponential expression as a logarithm.

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For the next three problems, rewrite the logarithmic expressions as exponential expressions using the inverse relationship between exponential and logarithmic expressions.

4) Rewrite the logarithmic expression as an exponential expression.

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5) Rewrite the logarithmic expression as an exponential expression.

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6) Rewrite the logarithmic expression as an exponential expression.

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For the next six problems, solve the logarithmic equations for the indicated variable. Consider any restrictions or non-solutions.

7) Solve the logarithmic equation for “x”.

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8) Solve the logarithmic equation for “x”.

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9) Solve the logarithmic equation for “x”.

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10) Solve the logarithmic equation for “x”.

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11) Solve the logarithmic equation for “x”.

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12) Solve the logarithmic equation for “x”.

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For the next five problems, use the Change of Base formula and your calculator to evaluate each logarithmic expression of the indicated variables.

13) Evaluate for “x”.

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14) Evaluate for “x”.

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15) Evaluate for “x”.

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16) Evaluate for “x”.

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17) Evaluate for “x”.

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For the next three problems, use any method available to solve.

18) Solve for “x” using any method.

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19) Solve for “x” using any method.

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20) Solve for “x” using any method.

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