What is the answer to log_{x}(324)=4 ?

The answer to log_{x}(324)=4 is x=3sqrt(2)

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log_{x}(324)=4

lo g_{x} (324) = 4

x = 32

Decimal

x = 4.24264 \dots

Solution steps

lo g_{x} (324) = 4

Apply log rules

\frac{1}{lo g _{324} ( x )} = 4

Multiply both sides by

lo g_{324} (x)

\frac{1}{lo g _{324} ( x )} lo g_{324} (x) = 4 lo g_{324} (x)

Simplify

1 = 4 lo g_{324} (x)

Switch sides

4 lo g_{324} (x) = 1

Divide both sides by

4

lo g_{324} (x) = \frac{1}{4}

Apply log rules

x = 32

Verify Solutions:

x = 32

True

The solution is

x = 32

lo g_{10} (x) = 0.67292

ln (1 - c) = 0.46

y, x = lo g_{10} (y + 2)

lo g_{10} (x + 3) = 4 lo g_{10} (x)

0 = 1 + lo g_{5} (x - 4)

What is the answer to log_{x}(324)=4 ?
The answer to log_{x}(324)=4 is x=3sqrt(2)
Solve for x: log_{x}(324)=4
The solution is x=3sqrt(2)