What is the answer to log_{b}(2)=0.3562 ?

The answer to log_{b}(2)=0.3562 is b=2^{1/(0.3562)}

Solve for b: log_{b}(2)=0.3562

The solution is b=2^{1/(0.3562)}

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Popular >

lo g_{b} (2) = 0.3562

b = 2^{\frac{1}{0.3562}}

Decimal

b = 7.00027 \dots

Solution steps

lo g_{b} (2) = 0.3562

Apply log rules

\frac{1}{lo g _{2} ( b )} = 0.3562

Multiply both sides by

lo g_{2} (b)

\frac{1}{lo g _{2} ( b )} lo g_{2} (b) = 0.3562 lo g_{2} (b)

Simplify

1 = 0.3562 lo g_{2} (b)

Switch sides

0.3562 lo g_{2} (b) = 1

Divide both sides by

0.3562

lo g_{2} (b) = \frac{1}{0.3562}

Apply log rules

b = 2^{\frac{1}{0.3562}}

Verify Solutions:

b = 2^{\frac{1}{0.3562}}

True

The solution is

b = 2^{\frac{1}{0.3562}}

- 13.11 + 14.13 ln (x) = 43

3 + ln (5 x - 18) = 9

9^{l o g_{9} (3 x - 5)} = x + 7

4 ln (8 x - 2) + 2 = 10

x^{l o g_{5} (x)} = 25 x

What is the answer to log_{b}(2)=0.3562 ?
The answer to log_{b}(2)=0.3562 is b=2^{1/(0.3562)}
Solve for b: log_{b}(2)=0.3562
The solution is b=2^{1/(0.3562)}