Wednesday

October 22, 2014

October 22, 2014

Posted by **Sammy** on Tuesday, March 13, 2012 at 1:40am.

5(2)^2x - 4 = 13 thanks

- Math(alg2) -
**Bosnian**, Tuesday, March 13, 2012 at 3:33amIf 5(2)^2x - 4 = 13 mean

5 * [ 2 ^ ( 2 x ) ] - 4 = 13

then

5 * 2 ^ 2 x - 4 = 13

5 * 2 ^ 2 x = 13 + 4

5 * 2 ^ 2 x = 17 Divide both sides by 5

2 ^ 2 x = 17 / 5

2 x * log ( 2 ) = log ( 17 / 5 )

2 x * log ( 2 ) = log ( 17 ) - log ( 5 ) Divide both sides by 2 log ( 2)

x = [ log ( 17 ) - log ( 5 ) ] / 2 log ( 2 )

Remark:

log ( a / b ) = log ( a) - log ( b )

log ( 17 / 5 ) = log ( 17 ) - log ( 5 )

x = 0.88276737

2 x = 1.76553474

5 * 2 ^ 1.76553474 - 4 =

5 * 3.4 - 4 =

17 - 4 = 13

**Answer this Question**

**Related Questions**

Math - Exponential equation - Solve the exponential equation. Express your ...

exponential equation-Algebra - Solve the exponential equation. Express the ...

Algebra Help - Let x = log_2 1/8 Write the exponential form of the equation and ...

Algebra-please check my answers - Solve the equation by expressing each side as ...

Alg2 - Solve the equation -5e^-x + 9 = 6 I subtracted 9 to both sides and got: -...

math need help urgent - find the domain f(x)=x/x-8,g(x)=-7/x solve the following...

math need help urgent - find the domain f(x)=x/x-8,g(x)=-7/x solve the following...

Math - Solve the following exponential equation 5^2-x=7^5x+7

math - please help to solve tie exponential equation for x: 5^x=8

MATH - State whether each equation in Exercises 25–30 represents a linear, ...