Advertisements
Advertisements
Question
If 9x+2 = 240 + 9x, then x =
Options
0.5
0.2
0.4
0.1
Advertisements
Solution
We have to find the value of x
Given `9 ^(x+2) = 240 +9^x`
`9^x xx 9^2 = 240 +9^x`
`9^2 = 240/9^x + 9^x/9^x`
`81= 240/9^x+ 1`
`81- 1= 240/9^x`
`80 240/9^x`
`9^x xx 80 = 240`
`9^x = 240/80`
`3^(2x )= 3`
`3^(2x )= 3^1`
By equating the exponents we get
`2x = 1`
`x= 1/2`
`x= 0.5`
APPEARS IN
RELATED QUESTIONS
If ax = by = cz and b2 = ac, show that `y=(2zx)/(z+x)`
If `27^x=9/3^x,` find x.
If `5^(3x)=125` and `10^y=0.001,` find x and y.
If 24 × 42 =16x, then find the value of x.
For any positive real number x, write the value of \[\left\{ \left( x^a \right)^b \right\}^\frac{1}{ab} \left\{ \left( x^b \right)^c \right\}^\frac{1}{bc} \left\{ \left( x^c \right)^a \right\}^\frac{1}{ca}\]
(256)0.16 × (256)0.09
If o <y <x, which statement must be true?
The simplest rationalising factor of \[\sqrt{3} + \sqrt{5}\] is ______.
Simplify:
`11^(1/2)/11^(1/4)`
Which of the following is equal to x?
