Question

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

Answer 1

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)