Question

What is the solution to the equation 3 1 – 2x = 2 ?

Answer 1

x ≈ –0.185

you have to take log of both sides

Answer 2

click the equation button when you are putting in your problems
makes it a lot easier to see

Answer 3

ok

Answer 4

log(31 - 2x) = log(2x)??

Answer 5

What is the solution to the equation 3^(1 + 2x) = 2?

Answer 6

k so you can use the change of base and the inverse logarithm properties to solve this

Answer 7

inverse property is \[\log_{a}a^x=x \]

Answer 8

with this you can use 3 = a to eliminate the 3 and make life easier

Answer 9

so \[\log_{3}3^(1-2x) \] becomes \[(1-2x) * \log_{3}3 \]

Answer 10

that was the power rule

Answer 11

\[\log_{3}3 = 1 \] because 3^1 = 3

Answer 12

backtracking to your equation

if you take the log on one side, you have to take the log on the other side as well

so putting this all together, you have

\[(1-2x)*1= \log_{3}2 \]

Answer 13

for the \[\log_{3}2 \] part, you use the change of base formula, which is \[\log_{a}x=(\log_{b}x )/(\log_{b}a ) \]

Answer 14

this gives you \[\log_{10}2 / \log_{10}3 \], which you can just plug into your calculator to get .6309297..

Answer 15

so you have 1-2x=.6309297

(1-.6309297)/2 = .1845351232