What is the answer to log_{x}(100)=140 ?

The answer to log_{x}(100)=140 is x=\sqrt[70]{10}

Solve for x: log_{x}(100)=140

The solution is x=\sqrt[70]{10}

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lo g_{x} (100) = 140

Decimal Notation

x = 1.03344 \dots

Solution steps

lo g_{x} (100) = 140

Apply log rules

\frac{1}{lo g _{100} ( x )} = 140

Multiply both sides by

lo g_{100} (x)

\frac{1}{lo g _{100} ( x )} lo g_{100} (x) = 140 lo g_{100} (x)

Simplify

1 = 140 lo g_{100} (x)

Switch sides

140 lo g_{100} (x) = 1

Divide both sides by

140

lo g_{100} (x) = \frac{1}{140}

Apply log rules

Verify Solutions:

True

The solution is

lo g_{- 2 x - 8} (2 x^{2} + 6 x - 20) = 2

v, ln (v) = - 2 t + ln (20)

lo g_{2 x - 5} (2 x^{2} - 2 x - 15) = 2

lo g_{12} (1 + \frac{r}{100}) = 3

lo g_{5} (x) - lo g_{5} (x - 1) = 1

What is the answer to log_{x}(100)=140 ?
The answer to log_{x}(100)=140 is x=\sqrt[70]{10}
Solve for x: log_{x}(100)=140
The solution is x=\sqrt[70]{10}