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Solve the equation 32^× . 25^× = 15^× + ^2 without using calculator.​

Solve the equation 32^× . 25^× = 15^× + ^2 without using calculator.​-example-1
User Milbrandt
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1 Answer

17 votes
17 votes

Explanation:


\frac{( {32}^(x) * {25}^(x))} { {15}^(x) } = {15}^(2)

When you multiply two variables or numbers or with different bases but with the same exponent, you can simply multiply the bases and use the same exponent. For example:

x^a*y^a= (xy)^a


{ ((32 * 25)/(15) })^(x) = {15}^(2)


{ ((32 * 5)/(3) })^(x) = {15}^(2)


{ ((160)/(3) })^(x) = 225

x= log (225) ÷ log ( 160/3)

User Tysonjh
by
3.2k points
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