Friday

January 30, 2015

January 30, 2015

Posted by **Anonymous** on Sunday, December 20, 2009 at 8:15pm.

- Pre Calc -
**MathMate**, Sunday, December 20, 2009 at 9:29pmFor e^(2x)+10e^(x)-75=0

Let

y=e^x

then

y² = e^(2x)

Substitute in above equation,

y²+10y-75=0

Factor and solve for y.

Note that the domain of y (=e^x) is (0,∞), so any negative root for the quadratic equation must be rejected.

For 3^(x+2)=7^(x-5)

take logarithm on both sides, and apply the exponent rule to get

(x+2)*ln 3 = (x-5)*ln 7

Solve for x. I get x=14 approx.

**Answer this Question**

**Related Questions**

Astronomy - The hottest stars have surface temperatures of about 40,000 K. At ...

Chemistry - .50 - x / x = 3.20e-1 I need to solve for x. I was going to do .50 ...

Chemistry(Please check) - .50 - x / x = 3.20e-1 I need to solve for x. I was ...

Math(Please respond) - .50 - x / x = 3.20e-1 I need to solve for x. I was going...

Math - How do I solve 3log10of(x-6)=11 and e^(2x)+10e^(x)-25=0?

Chemistry - 1/[N2O] = 1/(1.75M) + (1.10E-3M^-1 S^-1)(1852s) [N2O] = 0.383 M I ...

Math(Thank you for your help) - 1/[N2O] = 1/(1.75M) + (1.10E-3M^-1 S^-1)(1852s...

Math - Solve for t using natural logarithms. 7e^3t = 10e^2t

Math(Please, please help) - 1/[N2O] = 1/(1.75M) + (1.10E-3M^-1 S^-1)(1852s) [N2O...

Chemisdtry - Lewis Structures (check + help) - Draw Lewis structures for each of...