What is the answer to 16^{n-7}=19 ?

The answer to 16^{n-7}=19 is n=(ln(19))/(4ln(2))+7

Solve for n: 16^{n-7}=19

The solution is n=(ln(19))/(4ln(2))+7

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1 6^{n - 7} = 19

n = \frac{ln ( 19 )}{4 ln ( 2 )} + 7

Decimal Notation

n = 8.06198 \dots

Solution steps

1 6^{n - 7} = 19

Apply exponent rules

(n - 7) ln (16) = ln (19)

Solve

(n - 7) ln (16) = ln (19) : n = \frac{ln ( 19 )}{4 ln ( 2 )} + 7

n = \frac{ln ( 19 )}{4 ln ( 2 )} + 7

2^{2 x} - 2^{x + 1} = 0

e^{x} (x - 5) + 5 = 0

3^{17} = 3^{2 x + 3}

e^{3 x} = e^{- x}

5^{3 x - 4} = 5^{2 x + 5}

What is the answer to 16^{n-7}=19 ?
The answer to 16^{n-7}=19 is n=(ln(19))/(4ln(2))+7
Solve for n: 16^{n-7}=19
The solution is n=(ln(19))/(4ln(2))+7