What is the answer to 2*log_{10}(x-3)=log_{10}(25) ?

The answer to 2*log_{10}(x-3)=log_{10}(25) is x=8

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2*log_{10}(x-3)=log_{10}(25)

2 \cdot lo g_{10} (x - 3) = lo g_{10} (25)

x = 8

Solution steps

2 lo g_{10} (x - 3) = lo g_{10} (25)

Divide both sides by

2

lo g_{10} (x - 3) = \frac{lo g _{10} ( 25 )}{2}

Apply log rules

x - 3 = 5

Solve

x - 3 = 5 : x = 8

x = 8

Verify Solutions:

x = 8

True

The solution is

x = 8

20 lo g_{10} (x) = - 10

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

lo g_{x + 6} (2 x^{2} + 7 x) = 2

ln (x + 2) - ln (x - 6) = 1

\frac{x}{ln ( x )} = 0

What is the answer to 2*log_{10}(x-3)=log_{10}(25) ?
The answer to 2*log_{10}(x-3)=log_{10}(25) is x=8
Solve for x: 2*log_{10}(x-3)=log_{10}(25)
The solution is x=8