I just need help for these problems this morning asap if possible. :)

1.

Solve the logarithmic equation.

y=log(5) 125

Enter your answer

y =

2.

Options

3.

x=

*Please and thank you!!!!!! 0^>*

PhoenixForever Dec 14, 2018

#1**+3 **

I don't quite understand the first one, Phoenix....are we multiplying log(5) by 125???

2.

5 * 8^(4x) = 376 divide both sides by 5

8^(4x) = 376 / 5 take the log of both sides

log 8^(4x) = log (376 / 5)

Remember that log a^b can be written as b*log (a)

So

(4x) log (8) = log (376/5)

x *(4 * log 8) = log (376 / 5) divide both sides by (4 * log 8)

x = log (376/5) / [ 4 * log 8 ] = log (75.2) / (4log 8)

CPhill Dec 14, 2018

#2**+3 **

Last one

The key here is to notice that 81 = 3^4

The reason for doing this is that we won't have to use any logs to solve for x

So....we actually have

3^(7x) = (3^4)^(x + 9)

Remember that (a^m)^n = a^(m * n) so.....

3^(7x) = 3^(4 * (x + 9) )

Since the bases are the same, we can solve for the exponents

7x = 4 (x + 9) simplify

7x = 4x + 36 subtract 4x from both sides

3x = 36 divide both sides by 3

x = 12

CPhill Dec 14, 2018

#3**+2 **

Thank you much for your help CPhill...I may have worded the first question wrong on my end. I was able to complete it okay on my own. :)

PhoenixForever
Dec 14, 2018