Question

pls do this step by step....plz guys do in a sheet​

Answer 1

Answer:

a) (-5)^(x+1) * (-5)^5 = (-5)^7,

we know that (a^m) * (a^n) = a^(m+n),

=> (-5)^(x+1+5) = (-5)^7,

when bases are equal,then exponents are equal,

=> x+6 = 7,

=> x = 1

b) [(1/2) + (1/2*2) + (1/2*3) + (1/2*4)]^x = 1,

=> [(1/2){ 1 + (1/2) + (1/3) + (1/4) }]^ x = 1,

=> [(1/2)) {(12+6+4+3)/12]^x = 1,

=> [(1/2)(25/12)] ^ x = 1,

=> (25/24)^x = 1,

=> (1)^x = 1, (since,25/24 = 1.04 (app equal to 1)

=> x = 1.

Hope it helps u...