What is the answer to log_{\sqrt[3]{x}}(16)=4 ?

The answer to log_{\sqrt[3]{x}}(16)=4 is x=8

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log_{\sqrt[3]{x}}(16)=4

x = 8

Solution steps

Apply log rules

Multiply both sides by

Simplify

Switch sides

Divide both sides by

4

Apply log rules

Solve

x = 8

Verify Solutions:

x = 8

True

The solution is

x = 8

lo g_{7} (a) = 3

lo g_{10} (3 y - 1) = 2

lo g_{6} (9 x) = 2

3 lo g_{10} (x - 1) = lo g_{10} (8)

ln (x - 5) + ln (x + 3) = 1

What is the answer to log_{\sqrt[3]{x}}(16)=4 ?
The answer to log_{\sqrt[3]{x}}(16)=4 is x=8
Solve for x: log_{\sqrt[3]{x}}(16)=4
The solution is x=8