abdulrehman95a
What is the solution to 3^4x7= 4^2x+3



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rivermaker
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Is it \[3^{4}x  7 = 4 ^{2}x + 3\]
or
\[3^{4x}  7 = 4 ^{2x} + 3\]

.Sam.
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or \[3^{4x7}=4^{2x+3}\]

abdulrehman95a
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Sam's right

mpt003
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10/65

abdulrehman95a
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explanations please?

rivermaker
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\[3^{4x7}=4^{2x+3}\]
\[\frac{3^{4x}}{3^{7}}=4^{2x}\times {4^3}\]
\[\frac{81^x}{2187} = 64\times16^x\]
\[(\frac{81}{16})^x = 64 \times 2187\]
Now takes logs on both sides

rivermaker
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\[x = \frac{(\log 64+\log2187)}{\log 81\log 16}\]

abdulrehman95a
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wow thanks!