5 24 8x 1 1 = 5 5 On both the sides, powers have the same base. So, their exponents must be equal Therefore, 24 = 8x or x = =3 Hence, the value of x is 3. 15-04-2018 Revise • Substitute the value of x in the equation and check if it satisfies the equation. 5 19 5 +19 24 1 1 1 1 LHS = × = = 5 5 5 5 8x 8 ×3 24 1 1 1 RHS = = = 5 5 5 LHS = RHS Hence, the equation is satisfied with x = 3. So, our answer is correct. 1 3 1. Try to find the value of x given in the question by changing to . 5 2 What difference do you find in the value of x ? What do you infer from your answer? 2. Can you find the value of x if the equation is changed to (5)x ÷ (5)2 = (5)3 ? In questions 1 to 22, there are four options, out of which one is correct. Write the correct one. 1. [(–3)2]3 is equal to
- (a)(–3)8
- (b)(–3)6
- (c)(–3)5
- (d)(–3)23 2. For a non-zero rational number x, x8 ÷ x 2 is equal to (a) x 4 (b) x6 (c) x10 (d) x16 3. x is a non-zero rational number. Product of the square of x with the cube of x is equal to the (a) second power of x (b) third power of x (c) fifth power of x (d) sixth power of x 15-04-2018 4. For any two non-zero rational numbers x and y, x5 ÷ y 5 is equal to (a) (x÷y)1 (b) (x÷y)0 (c) (x÷y) 5 (d) (x÷y)10 5. am ×an is equal to (a) (a2)mn (b) am–n (c) am+n (d) amn
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(c) (–3)5