isabella813 isabella813

28-11-2016
Mathematics

Answered

Find the exact solution using common logarithms 2^5x+3= 3^2x+1

Verified Answer :

Panoyin Panoyin

01-12-2016

\(2^{5x + 3} = 3^{2x + 1}\)
\(log_{2}(2^{5x + 3}) = log_{2}(3^{2x + 1})\)
\((5x + 3)log_{2}(2) = (2x + 1)log_{2}(3)\)
\(5x + 3 = 1.58(2x + 1)\)
\(5x + 3 = 3.16x + 1.58\)
\(1.84x + 3 = 1.58\)
\(1.84x = -1.42\)
\(x \approx -0.77\)

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