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algebraic powers

algebraic powers

Could anybody please tell me how to work out the value of x in this equation:

3 to the power x = 9 to the power x+1

thanks in advance :smile:

Reply 1

jacobe

Would it help if I said that 9=3^2?

Reply 2

Zacken

Original post by JayD29

Could anybody please tell me how to work out the value of x in this equation:

3 to the power x = 9 to the power x+1

thanks in advance :smile:

Rewrite

9^{x+1} = (3^2)^{x+1} = 3^{2x + 2}

So if you have

3^x = 3^{2x+2}

it must be the case that

x = 2x+2

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algebraic powers

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