Question

HOTS Question

Find X if
5^x +5^x+1 = 150
Find the value of (2x)^1/x

Note : here 5^x means five raised to power X
5^x+1 means five raised to power X+1
(2x)^1/X means 2x raised to power 1
by x

Answer 1

♠ REFER THE ATTACHMENT.

Answer 2

5^x + 5^(x+1) = 150

5^x + 5^(x+1) = 25+125

5^x + 5^(x+1) = 5^2 + 5^3

5^x + 5^(x+1) = 5^2 + 5^(2 +1)

x = 2

(2x) ^ 1/x = (2 * 2) ^ 1/2

=2