What is the answer to 16^{n-7}+5=24 ?

The answer to 16^{n-7}+5=24 is n=(ln(19))/(4ln(2))+7

Solve for n: 16^{n-7}+5=24

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

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1 6^{n - 7} + 5 = 24

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

Decimal Notation

n = 8.06198 \dots

Solution steps

1 6^{n - 7} + 5 = 24

Move

5

to the right side

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

y, 3 x^{3} y + e^{y} = 4 x + 6

2^{x^{2} + 3 x - 10} = 256

4^{3 x} = 2^{2 x - 8}

3^{x - 1} = 81

6 4^{x} = 0.5

What is the answer to 16^{n-7}+5=24 ?
The answer to 16^{n-7}+5=24 is n=(ln(19))/(4ln(2))+7
Solve for n: 16^{n-7}+5=24
The solution is n=(ln(19))/(4ln(2))+7