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Chapter 12: Problem 4

Write each equation in its equivalent exponential form. $$2=\log _{9} x$$

Short Answer

Expert verified
The equivalent exponential form for the given logarithm form \(2=\log_{9}x\) is \(9^2=x\).

Step by step solution

01

Understand the Logarithmic Equation

We have the equation \(2 = \log_{9} x\). Here, '9' is the base 'a', 'x' is the number into which 'a' must be raised to get 'x', and '2' is the exponent 'b' to which the base must be raised to get 'x'.
02

Convert into Exponential Form

Using the exponential form 'a^b = x', substitute 'a' with '9', 'b' with '2' and 'x' with 'x'. So, the equivalent exponential form is \(9^2 = x\).

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