Question

5 to the power x plus 5 to the power x equal to 750

Answer 1

Here is your answer.
$2 \times {5}^{x} = 75 \times 10 \\ {5}^{x} = 5 \times 15 \times 5 \\ {5}^{x} = {5}^{3} \times 3 \\ take \: log \: both \: sides \: with \: base \: 5 \\ x = 3 + log_{5}(3) \\ x = 3 + \frac{ log_{10}(3) }{ log_{10}(5) } \\ x = 3 + 0.68261 \\ x = 3.68261$

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Answer 2

Hey mate...
Thanks for the ques....
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I hope it helps u a lot......
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