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

The answer to log_{b}(b)=1 is 0 1

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log_{b}(b)=1

lo g_{b} (b) = 1

0 < b < 1 or b > 1

Solution steps

lo g_{b} (b) = 1

Apply log rules

\frac{ln ( b )}{ln ( b )} = 1

Multiply both sides by

ln (b)

\frac{ln ( b )}{ln ( b )} ln (b) = 1 \cdot ln (b)

Simplify

ln (b) = ln (b)

Apply log rules

b = b

Both sides are equal

True for all b

Verify Solutions:

0 < b < 1 or b > 1

The solution is

0 < b < 1 or b > 1

ln (x) - ln (3) = ln (15)

lo g_{4 x + 1} (9 x) = - 1

- 2 ln (x) - 1 = 0

lo g_{6} (x - 3) = 2

lo g_{3} (x^{2} - 24 x) = 4

What is the answer to log_{b}(b)=1 ?
The answer to log_{b}(b)=1 is 0<b<1\lor b>1
Solve for b: log_{b}(b)=1
The solution is 0<b<1\lor b>1