Advertisements
Advertisements
प्रश्न
Solve the following equation:
`4^(x-1)xx(0.5)^(3-2x)=(1/8)^x`
Advertisements
उत्तर
`4^(x-1)xx(0.5)^(3-2x)=(1/8)^x`
`rArr(2^2)^(x-1)xx(1/2)^(3-2x)=(1/2^3)^x`
`rArr(2)^(2x-2)xx(2)^(-(3-2x))=(2)(-3x)`
`rArr(2)^(2x-2-3+2x)=(2)^(-3x)`
⇒ 4x - 5 = -3x
⇒ 4x + 3x = 5
⇒ 7x = 5
⇒ x = 5/7
APPEARS IN
संबंधित प्रश्न
If 49392 = a4b2c3, find the values of a, b and c, where a, b and c are different positive primes.
Simplify:
`(16^(-1/5))^(5/2)`
Simplify:
`((5^-1xx7^2)/(5^2xx7^-4))^(7/2)xx((5^-2xx7^3)/(5^3xx7^-5))^(-5/2)`
Show that:
`(a^(x+1)/a^(y+1))^(x+y)(a^(y+2)/a^(z+2))^(y+z)(a^(z+3)/a^(x+3))^(z+x)=1`
Find the value of x in the following:
`(3/5)^x(5/3)^(2x)=125/27`
If `3^(4x) = (81)^-1` and `10^(1/y)=0.0001,` find the value of ` 2^(-x+4y)`.
Solve the following equation:
`3^(x-1)xx5^(2y-3)=225`
Simplify:
`root(lm)(x^l/x^m)xxroot(mn)(x^m/x^n)xxroot(nl)(x^n/x^l)`
If 24 × 42 =16x, then find the value of x.
The value of x − yx-y when x = 2 and y = −2 is
