What is the answer to log_{4}(x+3)=log_{4}(3x-7) ?

The answer to log_{4}(x+3)=log_{4}(3x-7) is x=5

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log_{4}(x+3)=log_{4}(3x-7)

lo g_{4} (x + 3) = lo g_{4} (3 x - 7)

x = 5

Solution steps

lo g_{4} (x + 3) = lo g_{4} (3 x - 7)

Apply log rules

x + 3 = 3 x - 7

Solve

x + 3 = 3 x - 7 : x = 5

x = 5

Verify Solutions:

x = 5

True

The solution is

x = 5

1 0^{7 l o g_{10} (x)} = 7 x

35000 = 95858 ln (x) - 991636

lo g_{4} (2 - x) = lo g_{16} (25)

- 6 + lo g_{10} (x - 1) = lo g_{10} (5)

- 3 lo g_{5} (3) = lo g_{5} (x)

What is the answer to log_{4}(x+3)=log_{4}(3x-7) ?
The answer to log_{4}(x+3)=log_{4}(3x-7) is x=5
Solve for x: log_{4}(x+3)=log_{4}(3x-7)
The solution is x=5