Advertisements
Advertisements
प्रश्न
Solve the following equation for x:
`2^(5x+3)=8^(x+3)`
Advertisements
उत्तर
`2^(5x+3)=8^(x+3)`
`rArr2^(5x+3)=(2^3)^(x+3)`
`rArr2^(5x+3)=2^(3x+9)`
⇒ 5x + 3 = 3x + 9
⇒ 5x - 3x = 9 - 3
⇒ 2x = 6
⇒ x = 6/2
⇒ x = 3
APPEARS IN
संबंधित प्रश्न
Simplify the following
`(4ab^2(-5ab^3))/(10a^2b^2)`
Prove that:
`1/(1 + x^(b - a) + x^(c - a)) + 1/(1 + x^(a - b) + x^(c - b)) + 1/(1 + x^(b - c) + x^(a - c)) = 1`
Simplify the following:
`(5^(n+3)-6xx5^(n+1))/(9xx5^x-2^2xx5^n)`
If 2x = 3y = 12z, show that `1/z=1/y+2/x`
If `3^(4x) = (81)^-1` and `10^(1/y)=0.0001,` find the value of ` 2^(-x+4y)`.
If `5^(3x)=125` and `10^y=0.001,` find x and y.
If (x − 1)3 = 8, What is the value of (x + 1)2 ?
Which one of the following is not equal to \[\left( \frac{100}{9} \right)^{- 3/2}\]?
If a, b, c are positive real numbers, then \[\sqrt{a^{- 1} b} \times \sqrt{b^{- 1} c} \times \sqrt{c^{- 1} a}\] is equal to
If \[\frac{2^{m + n}}{2^{n - m}} = 16\], \[\frac{3^p}{3^n} = 81\] and \[a = 2^{1/10}\],than \[\frac{a^{2m + n - p}}{( a^{m - 2n + 2p} )^{- 1}} =\]
