What is the answer to log_{x}(100000)=3 ?

The answer to log_{x}(100000)=3 is x=10\sqrt[3]{100}

Solve for x: log_{x}(100000)=3

The solution is x=10\sqrt[3]{100}

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Popular >

lo g_{x} (100000) = 3

Decimal Notation

x = 46.41588 \dots

Solution steps

lo g_{x} (100000) = 3

Apply log rules

\frac{1}{lo g _{100000} ( x )} = 3

Multiply both sides by

lo g_{100000} (x)

\frac{1}{lo g _{100000} ( x )} lo g_{100000} (x) = 3 lo g_{100000} (x)

Simplify

1 = 3 lo g_{100000} (x)

Switch sides

3 lo g_{100000} (x) = 1

Divide both sides by

3

lo g_{100000} (x) = \frac{1}{3}

Apply log rules

Verify Solutions:

True

The solution is

0.4634 = 0.6446 ln (x) - 0.5557

lo g_{10} (343) = 3 lo g_{10} (x)

ln ((x - 6)^{3}) = 5

ln (\frac{x + 1}{2 x - 3}) = 1

lo g_{6} (w) = - 2

What is the answer to log_{x}(100000)=3 ?
The answer to log_{x}(100000)=3 is x=10\sqrt[3]{100}
Solve for x: log_{x}(100000)=3
The solution is x=10\sqrt[3]{100}