What is the answer to 15^{4a}=81^{a+2} ?

The answer to 15^{4a}=81^{a+2} is a=(2ln(3))/(ln(5))

Solve for a: 15^{4a}=81^{a+2}

The solution is a=(2ln(3))/(ln(5))

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1 5^{4 a} = 8 1^{a + 2}

a = \frac{2 ln ( 3 )}{ln ( 5 )}

Decimal Notation

a = 1.36521 \dots

Solution steps

1 5^{4 a} = 8 1^{a + 2}

Apply exponent rules

4 a ln (15) = (a + 2) ln (81)

Solve

4 a ln (15) = (a + 2) ln (81) : a = \frac{2 ln ( 3 )}{ln ( 5 )}

a = \frac{2 ln ( 3 )}{ln ( 5 )}

9^{x - 1} = 27

3^{x + 2} = 10

2^{- k} = 2^{k + 1}

e^{x} = 3 x + 5

1000 e^{0.2 x} = 2500

What is the answer to 15^{4a}=81^{a+2} ?
The answer to 15^{4a}=81^{a+2} is a=(2ln(3))/(ln(5))
Solve for a: 15^{4a}=81^{a+2}
The solution is a=(2ln(3))/(ln(5))