What is the answer to solvefor n,s=(a^n)/b ?

The answer to solvefor n,s=(a^n)/b is n=(ln(sb))/(ln(a))

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solvefor n,s=(a^n)/b

solve for

n, s = \frac{a ^{n}}{b}

n = \frac{ln ( s b )}{ln ( a )}

Solution steps

s = \frac{a ^{n}}{b}

Multiply both sides by

b

s b = \frac{a ^{n}}{b} b

Simplify

s b = a^{n}

Apply exponent rules

ln (s b) = n ln (a)

Solve

ln (s b) = n ln (a) : n = \frac{ln ( s b )}{ln ( a )}

n = \frac{ln ( s b )}{ln ( a )}

6 \cdot 5^{3 x} = 468750

n = 3^{x}

1 0^{4 x} = 101

5^{x + 2} + 5^{x + 1} = 150

1 0^{x} = 5^{3 x + 2}

What is the answer to solvefor n,s=(a^n)/b ?
The answer to solvefor n,s=(a^n)/b is n=(ln(sb))/(ln(a))