Explain how to solve 3^x-4=6 using the change of base formula log base b of y equals log y over log b. include the solution for x in your answer. round your answer to the nearest thousandth.

Step-by-step explanation:

The comment you got is really a good one. On this editor, you have to overuse brackets. I'll do it both ways.

3^x - 4 = 6                add 4 to both sides.

3^x -4+4 = 6 + 4       Combine

3^x = 10                    Take the log of both sides.

log 3^x = log 10

x log(3) = log 10

0.4771x = 1

x = 1/0.4771

x = 2.0960

Second interpretation

3^(x - 4) = 6                  Take the log of both sides.

(x - 4)*log(3) = log(6)    Divide by log 3

log(3) = 0.4771            

log(6) = 0.7782

x - 4 = log(6)/log(3)      Do the division

x - 4 = 1.6309               Add 4 to both sides

x = 5.6309                   That's a pretty big result for such small numbers to start with.

93.8

step-by-step explanation:

lets say, first number = x

second number = 3x+7

total = 49

(x)+(3x+7)= 49

4x+7 = 49

4x = 42

x = 42/4

x= 10.5

x= 10.5

3x+7 = 3(10.5)+7 = 93.8

hope this

35 is an outlier

step-by-step explanation: