What is the answer to log_{b}(50)=1 ?

The answer to log_{b}(50)=1 is b=50

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log_{b}(50)=1

lo g_{b} (50) = 1

b = 50

Solution steps

lo g_{b} (50) = 1

Apply log rules

\frac{1}{lo g _{50} ( b )} = 1

Multiply both sides by

lo g_{50} (b)

\frac{1}{lo g _{50} ( b )} lo g_{50} (b) = 1 \cdot lo g_{50} (b)

Simplify

1 = lo g_{50} (b)

Apply log rules

50 = b

Switch sides

b = 50

Verify Solutions:

b = 50

True

The solution is

b = 50

x, ln (y) = ln (1 + x)

0.67 = lo g_{10} (x)

lo g_{10} (x - 15) = lo g_{10} (x)

3 lo g_{2} (2 x) = 3

y, ln (x + y) = x