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ICSE Class 9 Answered

9× 2²^x = 10

 

Asked by Jazzyadvendu | 17 Jul, 2021, 10:59: PM
Expert Answer
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
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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