Question

If a = b2 = c3, then the value of loga(abc) is

Answer 1

Answer:

17/6

Step-by-step explanation:

Given

a=b²=c³

writing b and c in terms of a

b²=a

b=a½

c³=a

c=a⅓

asked to find

loga(abc)

substitute a,b,c

loga(aa½a⅓)

bases are equal add exponent

a¹+a¹+a½+a⅓

a^17/6

therefore

log(a)^17/6

17/6 log(a)

since loga=1

therefore

17/6

Answer 2

answer for this question