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9× 2²^x = 10

I assume the question is

Let us consider 2x = y

then given expression is written as , 2y = (10/9)

By taking logarithm on both sides , y log(2) = log(10/9) = 0.0457

y = 0.0457 / log(2) = 0.152

Then, we have , 2x = 0.152

By taking logarithm on both sides ,  x log2 = log( 0.152) =  -0.818

x = -0.818 / log2 = -2.718
Answered by Thiyagarajan K | 17 Sep, 2021, 07:57: PM

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