Question

(2), 42(2), 43(3), 44(3), 45(1), 46(3)] (4) 20 46. If 1717171717 = 7%, then the value of x is

11th - 12th Class

Maths

Solution

123

4.0 (1 ratings)

fo ( sqrt{7 sqrt{7 sqrt{7 sqrt{7 sqrt{7}}}}=7^{x}} ) ( (sqrt[7]{7 sqrt{7 sqrt{7 sqrt{7}}}})^{frac{1}{2}}=7^{x} ) ( 7^{1 / 2}(sqrt{7 sqrt{7 sqrt{7}}})^{1 / 2}=7^{x} ) ( 7^{1 / 2}left(sqrt[7]{7 sqrt{7 sqrt{7}})^{frac{1}{4}}}=7^{x}right. ) ( left(7^{1 / 2+1 / 4}right)(sqrt{7 sqrt{7 sqrt{7}}})^{1 / 4}=7^{x} ) ( 7^{3 / 4}(7 sqrt{7 sqrt{7}})^{1 / 8}=7^{x} ) ( left(7^{3 / 4^{+1 / 8}}right)(sqrt{7 sqrt{7}})^{1 / 8}=7^{x} ) ( 7^{7 / 8}(7 sqrt{7})^{1 / 6}=7^{x} ) ( 7^{7 / 8+1 / 16}(7)^{1 / 32}=7^{x} ) ( 7^{31 / 32}=7^{x} Rightarrow x=frac{31}{32} ) heuce opt. (3) is corre