Advertisements
Advertisements
Question
Solve for x:
3 x 7x = 7 x 3x
Sum
Advertisements
Solution
3 x 7x = 7 x 3x
⇒ `(7^x)/(7) = (3^x)/(3)`
⇒ `7^(x - 1) = 3^(x - 1)` ......(Using am ÷ an = am-n)
⇒ 7x - 1 = 3x - 1 x 1
⇒ 7x - 1 = 3x - 1 x 70 ......(Using a0 = 1)
⇒ x - 1 = 0
⇒ x = 1.
shaalaa.com
Solving Exponential Equations
Is there an error in this question or solution?
APPEARS IN
RELATED QUESTIONS
Solve for x : (49)x + 4 = 72 x (343)x + 1
Simplify : `[ 3 xx 9^( n + 1 ) - 9 xx 3^(2n)]/[3 xx 3^(2n + 3) - 9^(n + 1 )]`
Solve : 3x-1× 52y-3 = 225.
Evaluate the following:
`(2^6 xx 5^-4 xx 3^-3 xx 4^2)/(8^3 xx 15^-3 xx 25^-1)`
Evaluate the following:
`9^(5/2) - 3 xx 5^0 - (1/81)^((-1)/2)`
Evaluate the following:
`sqrt(1/4) + (0.01)^(-1/2) - (27)^(2/3)`
Solve for x:
p3 x p-2 = px
Solve for x:
`sqrt((3/5)^(x + 3)) = (27^-1)/(125^-1)`
If x = `3^(2/3) + 3^(1/3)`, prove that x3 - 9x - 12 = 0
If ax = by = cz and b2 = ac, prove that y = `(2xz)/(z + x)`
