What is the answer to 8*10^{2x-7}=3 ?

The answer to 8*10^{2x-7}=3 is x=(ln(3/8)+7ln(10))/(2ln(10))

Solve for x: 8*10^{2x-7}=3

The solution is x=(ln(3/8)+7ln(10))/(2ln(10))

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8 \cdot 1 0^{2 x - 7} = 3

x = \frac{ln ( \frac{3}{8} ) + 7 ln ( 10 )}{2 ln ( 10 )}

Decimal Notation

x = 3.28701 \dots

Solution steps

8 \cdot 1 0^{2 x - 7} = 3

Divide both sides by

8

1 0^{2 x - 7} = \frac{3}{8}

Apply exponent rules

(2 x - 7) ln (10) = ln (\frac{3}{8})

Solve

(2 x - 7) ln (10) = ln (\frac{3}{8}) : x = \frac{ln ( \frac{3}{8} ) + 7 ln ( 10 )}{2 ln ( 10 )}

x = \frac{ln ( \frac{3}{8} ) + 7 ln ( 10 )}{2 ln ( 10 )}

8^{x} = 125

10000 = 2^{t}

2500 = 2000 (1.04)^{t}

x, 30 = 1 0^{x}

5 e^{6 k} = 44

What is the answer to 8*10^{2x-7}=3 ?
The answer to 8*10^{2x-7}=3 is x=(ln(3/8)+7ln(10))/(2ln(10))
Solve for x: 8*10^{2x-7}=3
The solution is x=(ln(3/8)+7ln(10))/(2ln(10))