Question

5^x + 5^x+1 +5^x+2 = 155

Answer 1

Step-by-step explanation:

Given:

5^x+ 5^x x 5¹+5^x × 5² =155 as a^(m+n) = a^m*a^n

let 5^x = b

then given expression can be written as

b+5b+25b =155

b(1+5+25) =155

b * 31 =155

b=155/31

b=5

=> b=5^x=5

5^x=5^1

=> x = 1

Answer 2

Answer:

HOPE IT HELPS U MY FRND !!!!!!!!

Step-by-step explanation:

5^x(1+5^–1+5^–2) = 155

5^x(1+1/5+1/25) = 155

5^x(25/25+5/25+1/25) = 155

5^x(31/25) = 155

5^x = 155(25)/31

5^x = 125

log₅(5^x) = log₅(125)

x log₅(5) = log₅(125)

x = log₅(125)

x = 3