What is the answer to -10*5^{8-4x}-7=-12 ?

The answer to -10*5^{8-4x}-7=-12 is x=(ln(2)+8ln(5))/(4ln(5))

Solve for x: -10*5^{8-4x}-7=-12

The solution is x=(ln(2)+8ln(5))/(4ln(5))

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- 10 \cdot 5^{8 - 4 x} - 7 = - 12

x = \frac{ln ( 2 ) + 8 ln ( 5 )}{4 ln ( 5 )}

Decimal Notation

x = 2.10766 \dots

Solution steps

- 10 \cdot 5^{8 - 4 x} - 7 = - 12

Move

7

to the right side

- 10 \cdot 5^{8 - 4 x} = - 5

Divide both sides by

- 10

5^{8 - 4 x} = \frac{1}{2}

Apply exponent rules

(8 - 4 x) ln (5) = ln (\frac{1}{2})

Solve

(8 - 4 x) ln (5) = ln (\frac{1}{2}) : x = \frac{ln ( 2 ) + 8 ln ( 5 )}{4 ln ( 5 )}

x = \frac{ln ( 2 ) + 8 ln ( 5 )}{4 ln ( 5 )}

3^{x - 1} + 3^{x + 1} = 90

2^{4 x} = 3 2^{x - 1}

e^{x} = e^{2 x + 1}

y, x = 3^{y + 1}

3^{x + 1} = 7^{x}

What is the answer to -10*5^{8-4x}-7=-12 ?
The answer to -10*5^{8-4x}-7=-12 is x=(ln(2)+8ln(5))/(4ln(5))
Solve for x: -10*5^{8-4x}-7=-12
The solution is x=(ln(2)+8ln(5))/(4ln(5))