Help with math (simplish i guess)

determine if its true or not
--------------------------------------…

1. 3e^x+2=75

a. x= -2+e^25
b. x= -2+ln25
c. x is approximately equal to 1.2189
--------------------------------------…
2. Log base 4(3x)=3

a. x is approximately equal to 21.3560
b. x= -4
c. x= 64/3
--------------------------------------…

3. ln( x-1 )=3.8

a. x=1+e^3.8
b. x is approximately equal to 45.7012
c. x= 1+ln3.8
--------------------------------------…
Answers
for
1:
no,yes,yes approximately

2:
yes approximately, no, yes

3:
yes, yes approximately, no

in given order (first one is a, second one is b, etc.)

Hi,

1. *** If this was 3e^(x+2) =75

e^(x+2) = 25

ln e^(x + 2) = ln(25)

x + 2= ln(25)

x = -2 + ln(25)

a. x= -2+e^25 <==NO
b. x= -2+ln25 <== Yes
c. x is approximately equal to 1.2189 <==Yes


--------------------------------------…
2. Log base 4(3x)=3

4³ = 3x

64 = 3x

x = 64/3

a. x is approximately equal to 21.3560 <==Yes
b. x= -4 <==NO
c. x= 64/3 <==Yes
--------------------------------------…

3. ln( x-1 )=3.8

e^3.8 = x - 1

1 + e^3.8 = x

x = 45.701

a. x=1+e^3.8 <==Yes
b. x is approximately equal to 45.7012 <==Yes
c. x= 1+ln3.8 <==NO

I hope that helps!! :-)