What is the answer to log_{10}(3x-8)=log_{10}(x+6) ?

The answer to log_{10}(3x-8)=log_{10}(x+6) is x=7

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log_{10}(3x-8)=log_{10}(x+6)

lo g_{10} (3 x - 8) = lo g_{10} (x + 6)

x = 7

Solution steps

lo g_{10} (3 x - 8) = lo g_{10} (x + 6)

Apply log rules

3 x - 8 = x + 6

Solve

3 x - 8 = x + 6 : x = 7

x = 7

Verify Solutions:

x = 7

True

The solution is

x = 7

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

20 = 3 lo g_{2} (1 + \frac{s}{n})

ln (\frac{t - 65}{125}) = - 0.07 t

lo g_{a} (x) = lo g_{a} (x)

y, ln (y) = 4 ln (x) + c

What is the answer to log_{10}(3x-8)=log_{10}(x+6) ?
The answer to log_{10}(3x-8)=log_{10}(x+6) is x=7
Solve for x: log_{10}(3x-8)=log_{10}(x+6)
The solution is x=7