What is the answer to log_{b}(100)=3 ?

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

Solve for b: log_{b}(100)=3

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

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Popular >

lo g_{b} (100) = 3

b = 3100

Decimal

b = 4.64158 \dots

Solution steps

lo g_{b} (100) = 3

Apply log rules

\frac{1}{lo g _{100} ( b )} = 3

Multiply both sides by

lo g_{100} (b)

\frac{1}{lo g _{100} ( b )} lo g_{100} (b) = 3 lo g_{100} (b)

Simplify

1 = 3 lo g_{100} (b)

Switch sides

3 lo g_{100} (b) = 1

Divide both sides by

3

lo g_{100} (b) = \frac{1}{3}

Apply log rules

b = 3100

Verify Solutions:

b = 3100

True

The solution is

b = 3100

lo g_{2} (3 x + 4) = 5

lo g_{10} (5 x^{2} - 21 x) = \frac{2}{5}

2 lo g_{10} (x) - lo g_{10} (x + 6) = 0

10 lo g_{5} (9 x - 5) = 35

2 lo g_{10} (x) = 3 + lo g_{10} (\frac{x}{10})

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