Advertisements
Advertisements
Question
If (23)2 = 4x, then 3x =
Options
3
6
9
27
Advertisements
Solution
We have to find the value of `3^x`provided `(2^3)^2 = 4`
So,
`2^(3xx 2) = 2^(2x)`
`2^6 = 2^(2x)`
By equating the exponents we get
`6=2x`
`6/2 = x`
`3=x`
By substituting in `3^x`we get
`3^x = 3^3`
`=27`
The value of`3^x` is 27
APPEARS IN
RELATED QUESTIONS
Prove that:
`sqrt(3xx5^-3)divroot3(3^-1)sqrt5xxroot6(3xx5^6)=3/5`
Find the value of x in the following:
`(3/5)^x(5/3)^(2x)=125/27`
Solve the following equation:
`4^(x-1)xx(0.5)^(3-2x)=(1/8)^x`
If a and b are distinct primes such that `root3 (a^6b^-4)=a^xb^(2y),` find x and y.
Write the value of \[\sqrt[3]{125 \times 27}\].
The value of x − yx-y when x = 2 and y = −2 is
Which one of the following is not equal to \[\left( \sqrt[3]{8} \right)^{- 1/2} ?\]
Which one of the following is not equal to \[\left( \frac{100}{9} \right)^{- 3/2}\]?
Find:-
`125^(1/3)`
Which of the following is equal to x?
