Question

1. Solve each equation. Show all your work. Round your answers to four decimal places.
a. 6^(3x) = 104
b. log 2 + log(4x – 1) = 3
I really need help here with this. Danke!

Answer 1

a take logs of both sides
log 6^3x = log 104
3x log g = log 104

solve for x

Answer 2

* that is log 6 not log g - typo

Answer 3

3x log 6 = log 104
3x = log 104 / log 6

x = log 104 / 3 log 6
grab your calculator and you've got it.

Answer 4

did you follow the solution
I used the rule which says log a^b = b log a

Answer 5

b . log 2 + log (4x -1) = 3

log 2(4x - 1) = 3

we are using logs to the base 10 so

2(4x -1) = 10^3

Answer 6

now that's easy to solve.

Answer 7

are you there?

Answer 8

Danke, but let see if i did it correctly
the answer for part (a) is .86 and part (b) would be 125.125 am I right?
P.S. I was doing something else sorry. @welshfella

Answer 9

yes for a

Answer 10

yes for b

Answer 11

Danke! @Loser66