What is the answer to log_{b}(53)=31 ?

The answer to log_{b}(53)=31 is b=\sqrt[31]{53}

Solve for b: log_{b}(53)=31

The solution is b=\sqrt[31]{53}

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Popular >

lo g_{b} (53) = 31

b = 3153

Decimal

b = 1.13663 \dots

Solution steps

lo g_{b} (53) = 31

Apply log rules

\frac{1}{lo g _{53} ( b )} = 31

Multiply both sides by

lo g_{53} (b)

\frac{1}{lo g _{53} ( b )} lo g_{53} (b) = 31 lo g_{53} (b)

Simplify

1 = 31 lo g_{53} (b)

Switch sides

31 lo g_{53} (b) = 1

Divide both sides by

31

lo g_{53} (b) = \frac{1}{31}

Apply log rules

b = 3153

Verify Solutions:

b = 3153

True

The solution is

b = 3153

lo g_{2} (7 x + 6) = 5

15 ln (8 x) = 45

lo g_{10} (x) - lo g_{10} (x - 14) = - 1

ln (4 x + 4) = 2

lo g_{10} (3 x^{2}) = - 2

What is the answer to log_{b}(53)=31 ?
The answer to log_{b}(53)=31 is b=\sqrt[31]{53}
Solve for b: log_{b}(53)=31
The solution is b=\sqrt[31]{53}