What is the answer to log_{4x}(5)=3 ?

The answer to log_{4x}(5)=3 is x=(\sqrt[3]{5})/4

Solve for x: log_{4x}(5)=3

The solution is x=(\sqrt[3]{5})/4

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Popular >

lo g_{4 x} (5) = 3

x = \frac{3 5}{4}

Decimal

x = 0.42749 \dots

Solution steps

lo g_{4 x} (5) = 3

Apply log rules

\frac{1}{lo g _{5} ( 4 x )} = 3

Multiply both sides by

lo g_{5} (4 x)

\frac{1}{lo g _{5} ( 4 x )} lo g_{5} (4 x) = 3 lo g_{5} (4 x)

Simplify

1 = 3 lo g_{5} (4 x)

Switch sides

3 lo g_{5} (4 x) = 1

Divide both sides by

3

lo g_{5} (4 x) = \frac{1}{3}

Apply log rules

4 x = 35

Solve

4 x = 35 : x = \frac{3 5}{4}

x = \frac{3 5}{4}

Verify Solutions:

x = \frac{3 5}{4}

True

The solution is

x = \frac{3 5}{4}

ln (x) + ln (\frac{1}{x} + 1) = 3

x, ln (ln (x)) = 0

lo g_{x} (336) = 2

lo g_{7} (3 - x) = 2 lo g_{7} (4)

lo g_{10} (a) = 4

What is the answer to log_{4x}(5)=3 ?
The answer to log_{4x}(5)=3 is x=(\sqrt[3]{5})/4
Solve for x: log_{4x}(5)=3
The solution is x=(\sqrt[3]{5})/4