Tuesday

October 21, 2014

October 21, 2014

Posted by **melek** on Sunday, February 19, 2012 at 7:52pm.

4^(2x − 1) = 6

- pre-cal -
**Bosnian**, Sunday, February 19, 2012 at 10:54pmlog ( a ^ n ) = n * log ( a )

( 2 x - 1 ) * log ( 4 ) = log ( 6 ) Divide both sides by log ( 4 )

2 x - 1 = log ( 6 ) / log ( 4 )

2 x = log ( 6 ) / log ( 4 ) + 1

2 x = log ( 6 ) / log ( 4 ) + log ( 4 ) / log ( 4 )

2 x = [ log ( 6 ) + log ( 4 ) ] / log 4

2 x = log ( 24 ) / log ( 4 ) Divide both sides by 2

x = [ log ( 24 ) / log ( 4 ) ] / 2

x = log ( 24 ) / 2 log ( 4 )

Remark:

log ( a ) + log ( b ) = log ( a * b )

log ( 4 ) + log ( 6 ) = log ( 6 * 4 ) = log ( 24 )

**Answer this Question**

**Related Questions**

pre-cal - Find the solution of the exponential equation, correct to four decimal...

math - Find the solution of the exponential equation 7+(5^5x)=25 correct to at ...

college algebra - Solve the exponential equation using logarithms. Give the ...

college algebra - Solve the exponential equation using logarithms. Give the ...

Math - Solve the exponential equation. Use a calculator to obtain a decimal ...

Pre-Cal Help Please!! - Use logarithms to solve the given equation. (Round the ...

Cal 1 - Use Newton's method with the specified initial approximation x1 to find ...

pre-calculus - solve the following logarithmic equation. be sure to reject any ...

Math - Consider the approximately normal population of heights of male college ...

math check - Consider the approximately normal population of heights of male ...