Question

please answer me urgently step by step explanation please clear photo of answers please urgent ​

Answer 1

Answer:

4

Step-by-step explanation:

5^x+ 5^(x-1)

through exponent law

a^(m-n) = a^m/a^n

5^x+ ((5^x)/5) = 750

5^x ( 1+ 1/5) = 750

5^x = 750 / (6/5)

5^x = 125 x 5

5^x = 5^3 x 5

x = 4

Answer 2

Answer:

$5 {}^{x} + 5 {}^{x - 1} = 750 \\ = 5 {}^{x} + 5 {}^{x} \times 5 {}^{ - 1} = 750 \\ = 5 {}^{x} (1 + \frac{1}{5} ) = 750 \\ = 5 {}^{x} ( \frac{6}{5} ) = 750 \\ = 5 {}^{x} \times 6 =3750 \\ = 5 {}^{x} = \frac{3750}{6} \\ = 5 {}^{x} = 625 \\ = 5 {}^{x} = 5 {}^{4} \\ now \: compare \: the \: powers \\ x = 4 \: \: answer$