What is the answer to log_{10}(x-1)=2log_{10}(3) ?

The answer to log_{10}(x-1)=2log_{10}(3) is x=10

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log_{10}(x-1)=2log_{10}(3)

lo g_{10} (x - 1) = 2 lo g_{10} (3)

x = 10

Solution steps

lo g_{10} (x - 1) = 2 lo g_{10} (3)

Apply log rules

x - 1 = 9

Solve

x - 1 = 9 : x = 10

x = 10

Verify Solutions:

x = 10

True

The solution is

x = 10

ln (x - 7) - ln (3) = 2

2 ln (x) = 12

2 ln (x) = - 6

lo g_{10} (x) = 3.67

ln (x^{2}) = (ln (x))^{2}

What is the answer to log_{10}(x-1)=2log_{10}(3) ?
The answer to log_{10}(x-1)=2log_{10}(3) is x=10
Solve for x: log_{10}(x-1)=2log_{10}(3)
The solution is x=10