SOLUTION: ln(5x-2)=2

Question 1149546: ln(5x-2)=2
Found 2 solutions by jim_thompson5910, MathLover1:
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!

To isolate x, we need to use the rule that if , then

So,

starting equation

use the rule mentioned above

add 2 to both sides

divide both sides by 5

-----------------------

Extra info:
The letter 'e' represents the constant 2.71828182846
It is similar to how pi = 3.1415926535898
Both values have no pattern to the digits and the decimal digits go on forever, which makes those decimal representations to be approximations.

Answer by MathLover1(20850) (Show Source): You can put this solution on YOUR website!

Remember the basic definition of a logarithm: "The logarithm of a number (5x-2) is the power (2) to which the base (e) must be raised to equal the number", so we can express this as:
--->
Now we can solve for x.
.......... Add to both sides.
......... Divide both sides by .
->exact answer
which
->approximately.
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