What is the answer to 2^{n-3}*14^{4n-5}= 1/56 ?

The answer to 2^{n-3}*14^{4n-5}= 1/56 is n=(ln(76832))/(ln(2)+4ln(14))

Solve for n: 2^{n-3}*14^{4n-5}= 1/56

The solution is n=(ln(76832))/(ln(2)+4ln(14))

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2^{n - 3} \cdot 1 4^{4 n - 5} = \frac{1}{56}

n = \frac{ln ( 76832 )}{ln ( 2 ) + 4 ln ( 14 )}

Decimal Notation

n = 1

Solution steps

2^{n - 3} \cdot 1 4^{4 n - 5} = \frac{1}{56}

Apply exponent rules

(n - 3 + lo g_{2} (14) (4 n - 5)) ln (2) = ln (\frac{1}{56})

Solve

(n - 3 + lo g_{2} (14) (4 n - 5)) ln (2) = ln (\frac{1}{56}) : n = \frac{ln ( 76832 )}{ln ( 2 ) + 4 ln ( 14 )}

n = \frac{ln ( 76832 )}{ln ( 2 ) + 4 ln ( 14 )}

3^{x - 1} = (\frac{1}{2})^{x + 3}

\frac{- 32}{243} = (\frac{- 2}{3})^{2 n + 1}

a, \frac{( x ^{2 a} )}{( x ^{3} )} = x^{3}

2^{x} = \frac{1}{64}

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

What is the answer to 2^{n-3}*14^{4n-5}= 1/56 ?
The answer to 2^{n-3}*14^{4n-5}= 1/56 is n=(ln(76832))/(ln(2)+4ln(14))
Solve for n: 2^{n-3}*14^{4n-5}= 1/56
The solution is n=(ln(76832))/(ln(2)+4ln(14))