What is the answer to 15^{3a}+7=67 ?

The answer to 15^{3a}+7=67 is a=(ln(60))/(3ln(15))

Solve for a: 15^{3a}+7=67

The solution is a=(ln(60))/(3ln(15))

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1 5^{3 a} + 7 = 67

a = \frac{ln ( 60 )}{3 ln ( 15 )}

Decimal Notation

a = 0.50397 \dots

Solution steps

1 5^{3 a} + 7 = 67

Move

7

to the right side

1 5^{3 a} = 60

Apply exponent rules

3 a ln (15) = ln (60)

Solve

3 a ln (15) = ln (60) : a = \frac{ln ( 60 )}{3 ln ( 15 )}

a = \frac{ln ( 60 )}{3 ln ( 15 )}

7^{1 + 2 x} - 50 \times 7^{x} + 7 = 0

a^{5 - x} = a^{3 - x}

x, 3 6^{x + 1} = 6

8^{x} = 128

3 2^{x} - 2 = 0

What is the answer to 15^{3a}+7=67 ?
The answer to 15^{3a}+7=67 is a=(ln(60))/(3ln(15))
Solve for a: 15^{3a}+7=67
The solution is a=(ln(60))/(3ln(15))