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Popular >

m=-3(5)^{n+4}-1/2

Solution

m = - 3 (5)^{n + 4} - \frac{1}{2}

Solution

n = \frac{ln ( - \frac{2 m + 1}{6} )}{ln ( 5 )} - 4

Solution steps

m = - 3 (5)^{n + 4} - \frac{1}{2}

Switch sides

- 3 \cdot 5^{n + 4} - \frac{1}{2} = m

Move

\frac{1}{2}

to the right side

- 3 \cdot 5^{n + 4} = m + \frac{1}{2}

Divide both sides by

- 3

5^{n + 4} = - \frac{2 m + 1}{6}

Apply exponent rules

(n + 4) ln (5) = ln (- \frac{2 m + 1}{6})

Solve

(n + 4) ln (5) = ln (- \frac{2 m + 1}{6}) : n = \frac{ln ( - \frac{2 m + 1}{6} )}{ln ( 5 )} - 4

n = \frac{ln ( - \frac{2 m + 1}{6} )}{ln ( 5 )} - 4

Popular Examples

3^{x} = 45

8^{y} = 16

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3^{x} = - 6

2^{p} = \frac{1}{8 ^{4}}

Frequently Asked Questions (FAQ)

What is the answer to m=-3(5)^{n+4}-1/2 ?
The answer to m=-3(5)^{n+4}-1/2 is n=(ln(-(2m+1)/6))/(ln(5))-4