Solve for X : (13)√X = 44 - 34 - 6

Solve for x : (13)^√x = 4⁴ - 3⁴ - 6

Sum

(13)^√x = 4⁴ - 3⁴ - 6
⇒ (13)^√x= 256 - 81 - 6
⇒ (13)^√x= 169
⇒ (13)^√x= 13²
⇒ √x = 2
⇒ x = 4

shaalaa.com

Simplification of Expressions

Is there an error in this question or solution?

Chapter 7: Indices [Exponents] - Exercise 7 (C) [Page 101]

Chapter 7 Indices [Exponents]
Exercise 7 (C) | Q 8 | Page 101

Solve : 3(2^x + 1) - 2^x+2 + 5 = 0.

If (a^m)ⁿ = a^m .aⁿ, find the value of : m(n - 1) - (n - 1)

Prove that : `( a + b + c )/( a^-1b^-1 + b^-1c^-1 + c^-1a^-1 ) = abc`

Evaluate : `((x^q)/(x^r))^(1/(qr)) xx ((x^r)/(x^p))^(1/(rp)) xx ((x^p)/(x^q))^(1/(pq))`

Simplify : `"x" − "y" − {"x" − "y" − ("x" + "y") −overline("x"-"y")}`

Simplify : `2[6 + 4 {"m"-6(7 - overline("n"+"p")) + "q"}]`

Write the following in the simplest form:
(b^-2 - a^-2) ÷ (b^-1 - a^-1)

Simplify the following and express with positive index:

`[("p"^-3)^(2/3)]^(1/2)`

Simplify the following:

`(2^"m" xx 3 - 2^"m")/(2^("m" + 4) - 2^("m" + 1)`

Simplify the following:

`(5^("n" + 2) - 6.5^("n" + 1))/(13.5^"n" - 2.5^("n" + 1)`