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

The answer to log_{10}(4)(3x-8)=3 is x=(3+16log_{10}(2))/(6log_{10)(2)}

Solve for x: log_{10}(4)(3x-8)=3

The solution is x=(3+16log_{10}(2))/(6log_{10)(2)}

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

x = \frac{3 + 16 lo g _{10} ( 2 )}{6 lo g _{10} ( 2 )}

Decimal Notation

x = 4.32763 \dots

Solution steps

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

Simplify

lo g_{10} (4) : 2 lo g_{10} (2)

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

Divide both sides by

2 lo g_{10} (2)

3 x - 8 = \frac{3}{2 lo g _{10} ( 2 )}

Move

8

to the right side

3 x = \frac{3}{2 lo g _{10} ( 2 )} + 8

Divide both sides by

3

x = \frac{3 + 16 lo g _{10} ( 2 )}{6 lo g _{10} ( 2 )}

c, f^{- 1} (86) = \frac{9}{5} c + 32

x, 5 y + 4 x = 20

28 = 16 + \frac{1}{2} c

\frac{9 ( x - 4 )}{6} = \frac{x + 2}{2}

a x + b = a

What is the answer to log_{10}(4)(3x-8)=3 ?
The answer to log_{10}(4)(3x-8)=3 is x=(3+16log_{10}(2))/(6log_{10)(2)}
Solve for x: log_{10}(4)(3x-8)=3
The solution is x=(3+16log_{10}(2))/(6log_{10)(2)}