ICSE Class 9 Answered
9× 2²^x = 10
Asked by Jazzyadvendu | 17 Jul, 2021, 22:59: PM
I assume the question is
![begin mathsize 18px style 9 space cross times 2 to the power of 2 to the power of x end exponent space equals space 10 end style](https://images.topperlearning.com/topper/tinymce/cache/37274d32414e264c012788a2e15d5607.png)
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, 19:57: PM
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