What is the answer to log_{x}(42.5)=4 ?

The answer to log_{x}(42.5)=4 is x=\sqrt[4]{42.5}

Solve for x: log_{x}(42.5)=4

The solution is x=\sqrt[4]{42.5}

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lo g_{x} (42.5) = 4

Decimal Notation

x = 2.55327 \dots

Solution steps

lo g_{x} (42.5) = 4

Apply log rules

\frac{1}{lo g _{42.5} ( x )} = 4

Multiply both sides by

lo g_{42.5} (x)

\frac{1}{lo g _{42.5} ( x )} lo g_{42.5} (x) = 4 lo g_{42.5} (x)

Simplify

1 = 4 lo g_{42.5} (x)

Switch sides

4 lo g_{42.5} (x) = 1

Divide both sides by

4

lo g_{42.5} (x) = \frac{1}{4}

Apply log rules

Verify Solutions:

True

The solution is

10 = 200 lo g_{10} (x)

x, 2 + ln (x + 5) = 7

lo g_{8} (4 x + 1) = - 1

lo g_{10} (t) 2 + lo g_{t} (4) = 1

2 ln (x + 3) = 4

What is the answer to log_{x}(42.5)=4 ?
The answer to log_{x}(42.5)=4 is x=\sqrt[4]{42.5}
Solve for x: log_{x}(42.5)=4
The solution is x=\sqrt[4]{42.5}