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.

chase is right because he already been to the swings and he know how far it will be to get there

step-by-step explanation:

the answer is:

the answer is:

to solve the problem, we need to remember the quotient of power property, it's defined by the following relation:

if we have a quotienf of powers that have the same base, we need to keep the same base and subtract the exponent of the denominator power to the exponent of the numerator power.

so, we are given the expression:

then, calculating we have:

hence, the answer is:

have a nice day!