# Convert { 6^x = 1296 } to a logarithmic equation

## Question:

Convert {eq}6^x = 1296 {/eq} to a logarithmic equation

## Exponential to Logarithmic Equation:

(i) An exponential equation is of the form {eq}a^x=b {/eq}.

(ii) A logarithmic equation is of the form: {eq}log_x y = a {/eq}.

(iii) To convert an equation from exponential to logarithmic form we use the formula:

$$a^x = b \Rightarrow x = \log_a b $$

## Answer and Explanation:

To convert an equation from exponential to logarithmic form we use the formula:

$$a^x = b \Rightarrow x = \log_a b $$

We will apply this to the given equation:

$$6^x =1296 \Rightarrow \boxed{\mathbf{ x = \log_6 1296}} $$

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