What is the answer to 2log_{10}(x-1)=log_{10}(x-1) ?

The answer to 2log_{10}(x-1)=log_{10}(x-1) is x=2

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2log_{10}(x-1)=log_{10}(x-1)

2 lo g_{10} (x - 1) = lo g_{10} (x - 1)

x = 2

Solution steps

2 lo g_{10} (x - 1) = lo g_{10} (x - 1)

Move

lo g_{10} (x - 1)

to the left side

lo g_{10} (x - 1) = 0

Apply log rules

x - 1 = 1

Solve

x - 1 = 1 : x = 2

x = 2

Verify Solutions:

x = 2

True

The solution is

x = 2

5 lo g_{10} (x) = 3 + 2 lo g_{10} (x)

0.567 = ln (x^{3})

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

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

lo g_{2} (y) = 3

What is the answer to 2log_{10}(x-1)=log_{10}(x-1) ?
The answer to 2log_{10}(x-1)=log_{10}(x-1) is x=2
Solve for x: 2log_{10}(x-1)=log_{10}(x-1)
The solution is x=2