Advertisements
Advertisements
Question
Solve for x:
`sqrt((3/5)^(x + 3)) = (27^-1)/(125^-1)`
Advertisements
Solution
`sqrt((3/5)^(x + 3)) = (27^-1)/(125^-1)`
⇒ `(3/5)^((x+3)xx(1/2)) = ((3^3)^-1)/((5^3)-1)`
⇒ `(3/5)^((x+3)/2) = (3/5)^-3`
⇒ `(x + 3)/(2)` = -3
⇒ x + 3 = -6
⇒ x = -9.
APPEARS IN
RELATED QUESTIONS
Solve for x:
`2^(3x + 3) = 2^(3x + 1) + 48`
If 4x + 3 = 112 + 8 × 4x, find the value of (18x)3x.
Prove that : `((x^a)/(x^b))^( a + b - c ) (( x^b)/(x^c))^( b + c - a )((x^c)/(x^a))^( c + a - b)`
If `((a^-1b^2 )/(a^2b^-4))^7 ÷ (( a^3b^-5)/(a^-2b^3))^-5 = a^x . b^y` , find x + y.
Evaluate the following:
`(27)^(2/3) xx 8^((-1)/6) ÷ 18^((-1)/2)`
Solve for x:
2x + 3 + 2x + 1 = 320
Find the value of k in each of the following:
`(sqrt(9))^-7 xx (sqrt(3))^-5` = 3k
Find the value of 'a' and 'b' if:
92a = `(root(3)(81))^(-6/"b") = (sqrt(27))^2`
Prove the following:
`(x^("a"+"b")/x^"c")^("a"-"b") · (x^("c"+"a")/(x^"b"))^("c"-"a") · ((x^("b"+"c"))/(x"a"))^("b"-"c")` = 1
Prove the following:
`root("ab")(x^"a"/x^"b")·root("bc")(x^"b"/x^"c")·root("ca")(x^"c"/x^"a")` = 1
