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
Find x, if : `sqrt( 2^( x + 3 )) = 16`
Solve for x : 9x+2 = 720 + 9x
Solve for x:
`(81)^(3/4) - (1/32)^(-2/5) + x(1/2)^(-1).2^0 = 27`
Solve for x : 3(2x + 1) - 2x + 2 + 5 = 0
If m ≠ n and (m + n)-1 (m-1 + n-1) = mxny, show that : x + y + 2 = 0
If 3x + 1 = 9x - 3 , find the value of 21 + x.
Solve for x:
2x + 3 + 2x + 1 = 320
Solve for x:
1 = px
If a = `2^(1/3) - 2^((-1)/3)`, prove that 2a3 + 6a = 3
If `x^(1/3) + y^(1/3) + z^(1/3) = 0`, prove that (x + y + z)3 = 27xyz
