What is the answer to 18^{3n}-4=49 ?

The answer to 18^{3n}-4=49 is n=(ln(53))/(3ln(18))

Solve for n: 18^{3n}-4=49

The solution is n=(ln(53))/(3ln(18))

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1 8^{3 n} - 4 = 49

n = \frac{ln ( 53 )}{3 ln ( 18 )}

Decimal Notation

n = 0.45787 \dots

Solution steps

1 8^{3 n} - 4 = 49

Move

4

to the right side

1 8^{3 n} = 53

Apply exponent rules

3 n ln (18) = ln (53)

Solve

3 n ln (18) = ln (53) : n = \frac{ln ( 53 )}{3 ln ( 18 )}

n = \frac{ln ( 53 )}{3 ln ( 18 )}

2^{5 y + 1} = 2

y, e^{x y} + ln (x) = 10

3^{x} \times 5^{2 x} = 150

4^{x + 2} - 4^{x} = 120

What is the answer to 18^{3n}-4=49 ?
The answer to 18^{3n}-4=49 is n=(ln(53))/(3ln(18))
Solve for n: 18^{3n}-4=49
The solution is n=(ln(53))/(3ln(18))