find the value of x in this question.
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Hey there!
Given equation to simplify and subsequently find the final value for the variable "x":
Now, convert the following base of "8^255" to the base of "2" and the inner exponential power "3" that is:
Now, convert the base of "32^x" to the power of "5" and base of "2":
Apply the rule of exponents into this newly formed gisted value that is;
Here,
Now, cancel out or balance the similar bases by functions of a specific variable that is,
Switch the following sides and divide both the sides with the value of "5" to get the product on R.H.S.:
Which is the required answer for this type of query.
Hope this helps you and solves the doubts for finding exponential variable values with a given condition on each side!!!!!
Verified answer
8^255 = ( 32 )^x------------------------
(2 × 2 × 2 )^255 = (2 × 2 × 2 × 2 × 2 )^x
(2^3 )^255 = ( 2^5 )^x
2^( 3 × 255 ) = 2^( 5 × x )
2^(765) = 2^(5x)
since ,both sides base are equal , then it will get cancel with each other. now we have ,
765 = 5x
x = 153
therefore , value of x = 153
Answer : x = 153
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