State true or false:
The value of x that satisfies the expression (17)^3.5 x (17)^x = 17⁸ is 4.

i. 1.54 x 10³, ii. 1.6x10⁷

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i. 1.54x10⁹, ii. 1.6x10^-7

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Solution

The correct option is B
i. 1.54x10⁹, ii. 1.6x10^-7

Let (17)^3.5x (17)^x= 17⁸

Then, (17)^{3.5 +x}= 17⁸

3.5 +x= 8
x= (8 - 3.5)
x= 4.5

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