6. Exponential & Logarithmic Functions

Introduction to Logarithms

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Multiple Choice

Change the following logarithmic expression to its equivalent exponential form.
$x=\log9$

$x=9$

$9^{x}=10$

$1^{x}=9$

$10^{x}=9$

Verified step by step guidance

Identify the given logarithmic expression: $ x = \log_9 10 $.

Recall the definition of a logarithm: $ \log_b a = c $ means $ b^c = a $.

Apply the definition to the given expression: $ \log_9 10 = x $ implies $ 9^x = 10 $.

Rewrite the logarithmic expression in its equivalent exponential form: $ 9^x = 10 $.

Verify the conversion by checking that the base raised to the power of the logarithm equals the original number: $ 9^x = 10 $.

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Change the following logarithmic expression to its equivalent exponential form.x=log9x=\log9x=log9