What is the answer to log_{10}(4x+8)-log_{10}(3)=2 ?

The answer to log_{10}(4x+8)-log_{10}(3)=2 is x=73

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log_{10}(4x+8)-log_{10}(3)=2

lo g_{10} (4 x + 8) - lo g_{10} (3) = 2

x = 73

Solution steps

lo g_{10} (4 x + 8) - lo g_{10} (3) = 2

Move

lo g_{10} (3)

to the right side

lo g_{10} (4 x + 8) = 2 + lo g_{10} (3)

Apply log rules

4 x + 8 = 300

Solve

4 x + 8 = 300 : x = 73

x = 73

Verify Solutions:

x = 73

True

The solution is

x = 73

y, x = 2 y + ln (y)

lo g_{4} (x + 3) + lo g_{4} (x) = 1

8.5 = - lo g_{10} (x)

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

lo g_{10} (x) + lo g_{10} (4) = 7

What is the answer to log_{10}(4x+8)-log_{10}(3)=2 ?
The answer to log_{10}(4x+8)-log_{10}(3)=2 is x=73
Solve for x: log_{10}(4x+8)-log_{10}(3)=2
The solution is x=73