Question

Which exponential equation is equivalent to the logarithmic equation below 4^c=256

Answer 1

The following logarithmic equation is equivalent to the given exponential equation,

$log_{4}(256) = c$

Computing the Equivalent Logarithmic Equation

The given exponential equation is,

$(4)^{c} = 256$

As per the fundamental properties of exponentiation, the logarithmic equivalent equation of any exponential equation has the same base as that in the corresponding exponential equation. Exponentiation refers to the act of raising a number to the power of another number.

In the exponential equation, $(4)^{c} = 256$, $ is the base. So, the base in its equivalent logarithmic equation will also be 4.

The result of the exponential expression becomes the operand for the log.

Terms in a Logarithmic Equation

For the logarithmic equation, $log_{4}(256) = c$,

4 is called the base of the log. The variable  'c' is the logarithm of 256 to base 'a'.

Learn more about a logarithmic equation here:

brainly.com/question/14406101

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