solving Log equations

Algebra
Tutor: None Selected Time limit: 1 Day

Solve the following equations:

a.) log base 9 x=3/2

b.) 2e^3x = 5

c.) log base 5 (x-2) + log base 5 2=1

d.) log base 3 (4x) + log base 3 (x+1)=2

I am confused on how to solve the equations

May 5th, 2015

a) 27

b) x=0.305

c) x=4.5

d)x=-0.5+-16.5i

May 5th, 2015

I greatly appreciate you helping me get the answers. I don't understand how to get the answers, can you help me with that please?

May 5th, 2015

in logarithim questions make every value in the form of log remember log base 5 5=1, log base 2 2=1 and so on. if you want to convert a whole number to log form, example the value 2, to log base 3, then log base 3 x=2. to find x, x=3^2, x=6 therefore log base 3 6=2. properties of log: log A+ log B= log (A*B)

with exponentials introduce natural log ln. ln e^3x=5/2 note we have divided both sides by 2

ln e^3x can be writen as 3x ln e=5/2

but ln e=1

3x=5/2

x=(5/2)*(1/3

x=5/6 please rectify the answer to question b) x=5/6

i hope this will help

May 5th, 2015

do not change b)3x ln e=ln (5/2)

b) 3x(1)=0.9162

b)x=0.9162/3

b) x=0.305

May 5th, 2015

okay I see thank you for the help

May 5th, 2015

welcome

May 5th, 2015

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