Answer:
See below.
Step-by-step explanation:
I can't do all these for you but I'll show you how they are done by taking some samples.
k) 2^x = 32
Take logs of both sides
log 2^x = log 32
x log 2 = log 32
x = log 32 / log 2 Using your calculator to find the log values:
x = 5.
r) 9^(x + 1) = 81
log 9^(x + 1) = log 81
x + 1 log 9 = log 81
x + 1 = log81 / log9 = 2
x + 1 = 2
x = 1.
The above method is a general way to do these using logs but with some of the simpler ones you don't have to use logs at all:
For example :
3^x = 27
We know that 3^3 is 27 so
3^x = 3^3 and so:
x = 3.
