What is the answer to log_{2}(x-1)=log_{3}(27) ?

The answer to log_{2}(x-1)=log_{3}(27) is x=9

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log_{2}(x-1)=log_{3}(27)

lo g_{2} (x - 1) = lo g_{3} (27)

x = 9

Solution steps

lo g_{2} (x - 1) = lo g_{3} (27)

Apply log rules

x - 1 = 8

Solve

x - 1 = 8 : x = 9

x = 9

Verify Solutions:

x = 9

True

The solution is

x = 9

- lo g_{10} (x) = 2.85

2 ln (x) = 4 ln (2)

3 lo g_{64} (3 x - 4) = \frac{1}{2}

lo g_{x} (64) = 5

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

What is the answer to log_{2}(x-1)=log_{3}(27) ?
The answer to log_{2}(x-1)=log_{3}(27) is x=9
Solve for x: log_{2}(x-1)=log_{3}(27)
The solution is x=9