Which equation has x=4 as the solution? a) ^log 4 (3x+4)=2 b) ^log 3 (2x-5)=2 c) ^log x 64=4 d) ^log x 16=4

ANSWER

EXPLANATION

Consider the equation:

When we rewrite this logarithmic equation in the exponential form, we obtain:

Note that to write a logarithmic equation in exponential form, the base of the logarithm is still the base in the exponential form.

We now simplify the RHS.

Group like terms

This implies that

Divide both sides by 3

Simplify to get;

Hence the equation that has x=4 as a solution is

Another way to do this is to substitute x=4 into each equation. The equation that is satisfied is the correct choice.

d.192

step-by-step explanation:

12*16=192

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step-by-step explanation: