What is the answer to -8*10^{p+7}-7=-24 ?

The answer to -8*10^{p+7}-7=-24 is p=(ln(17/8))/(ln(10))-7

Solve for p: -8*10^{p+7}-7=-24

The solution is p=(ln(17/8))/(ln(10))-7

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- 8 \cdot 1 0^{p + 7} - 7 = - 24

p = \frac{ln ( \frac{17}{8} )}{ln ( 10 )} - 7

Decimal Notation

p = - 6.67264 \dots

Solution steps

- 8 \cdot 1 0^{p + 7} - 7 = - 24

Move

7

to the right side

- 8 \cdot 1 0^{p + 7} = - 17

Divide both sides by

- 8

1 0^{p + 7} = \frac{17}{8}

Apply exponent rules

(p + 7) ln (10) = ln (\frac{17}{8})

Solve

(p + 7) ln (10) = ln (\frac{17}{8}) : p = \frac{ln ( \frac{17}{8} )}{ln ( 10 )} - 7

p = \frac{ln ( \frac{17}{8} )}{ln ( 10 )} - 7

- 1 (1 - 2^{x}) = 2180

2^{3 x - 1} = 2 \cdot 3^{2 - 3 x}

6 e^{1 - x} = 25

x, 2^{x + 1} = \frac{1}{2 ^{2 x + 3}}

3 2^{x} = (\frac{1}{128})^{x - 4}

What is the answer to -8*10^{p+7}-7=-24 ?
The answer to -8*10^{p+7}-7=-24 is p=(ln(17/8))/(ln(10))-7
Solve for p: -8*10^{p+7}-7=-24
The solution is p=(ln(17/8))/(ln(10))-7