What is the answer to 3log_{10}(x-1)=log_{10}(8) ?

The answer to 3log_{10}(x-1)=log_{10}(8) is x=3

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3log_{10}(x-1)=log_{10}(8)

3 lo g_{10} (x - 1) = lo g_{10} (8)

x = 3

Solution steps

3 lo g_{10} (x - 1) = lo g_{10} (8)

Divide both sides by

3

lo g_{10} (x - 1) = \frac{lo g _{10} ( 8 )}{3}

Apply log rules

x - 1 = 2

Solve

x - 1 = 2 : x = 3

x = 3

Verify Solutions:

x = 3

True

The solution is

x = 3

ln (x - 5) + ln (x + 3) = 1

lo g_{2} (x + 2) - lo g_{2} (x) = 2

lo g_{3} (x + 6) - lo g_{3} (x - 2) = 1

lo g_{3} (2 x + 1) - lo g_{3} (x - 7) = 2

lo g_{4} (x + 6) + lo g_{4} (x + 18) = 3

What is the answer to 3log_{10}(x-1)=log_{10}(8) ?
The answer to 3log_{10}(x-1)=log_{10}(8) is x=3
Solve for x: 3log_{10}(x-1)=log_{10}(8)
The solution is x=3