Question

4^x + 3 = 7 using the change of base formula log y =
log y/log b

Answer 1

x=1

Explanation:

It's pretty obvious to see that x equals 1 after you subtract 3 from both sides, but this question specifies using change base, so:

log(b)a means log base b with a as the contents
1.
4^x+3-3=7-3

4^x=4

log(4)4^x=log(4)4 (both logs are base 4 in this case to free the x)

x=log(4)4

x=log(10)4/log(10)4 (both logs are base 10 in this case)

x=1

Change base is definitely unnecessary in this problem