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Solve for x: 11^(4x-5)*3^(2x)=5^(3-x) * ...

Solve for x:` 11^(4x-5)*3^(2x)=5^(3-x) * 7^(-x)`.

Text Solution

Verified by Experts

`11^(4x-5)*3^(2x)= 5^(3-x) * 7^(-x)*`
` or (4x-5)log 11+2xlog3 = (3-x)log 5-x log 7`
` or x= log(11^(5) xx 5^(3))/(log(11^(4) xx 315))`
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CENGAGE ENGLISH-LOGARITHM AND ITS PROPERTIES-ILLUSTRATION 1.28
  1. Solve for x: 11^(4x-5)*3^(2x)=5^(3-x) * 7^(-x).

    Text Solution

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