# Worksheet: Writing a Logarithmic Equation in Exponential Form

In this worksheet, we will practice rewriting the equation y=logₓ(z) in the exponential form xʸ=z.

Q1:

Express in its equivalent exponential form.

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• E

Q2:

Express in its equivalent exponential form.

• A
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• E

Q3:

Solve for .

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• E

Q4:

The intensity levels of two earthquakes measured on a seismograph can be compared by the formula where is the magnitude given by the Richter Scale. In August 2009, an earthquake of magnitude 6.1 hit Honshu, Japan. In March 2011, that same region experienced another earthquake with a magnitude of 9.0. How many times greater was the intensity of the 2011 earthquake? Round to the nearest whole number.

Q5:

Solve for .

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Q6:

Consider the logarithmic equation .

Convert the equation to exponential form.

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Solve the equation.

• AThere is no solution
• B
• C
• D

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