Problems of the form x^n*b^p(x)

**waldol1** · August 10th 2012, 04:50 PM

Okay, this is the equation: 25^x=5^{x*x -3} * x. Solve for x.

**richard1234** · August 10th 2012, 04:55 PM

I don't think that can be solved using algebraic methods. You have to approximate or use Newton's formula.

**Soroban** · August 10th 2012, 05:39 PM

Hello, waldol1!

I assume you have a typo . . .

$\text{Solve for }x\!:\;25^x \:=\:5^{x^2-3x}$

We have: . $(5^2)^x \:=\:5^{x^2-3x} \quad\Rightarrow\quad 5^{2x} \:=\:5^{x^2-3x}$

. . . . . . . . $2x \:=\:x^2-3x \quad\Rightarrow\quad x^2 - 5x \:=\:0 \quad\Rightarrow\quad x(x-5) \:=\:0$

Therefore: . $x \:=\:0,\:5$

Thread: Problems of the form x^n*b^p(x)

LinkBack

Thread Tools

Display

Problems of the form x^n*b^p(x)

Re: Problems of the form x^n*b^p(x)

Re: Problems of the form x^n*b^p(x)

Similar Math Help Forum Discussions

Complex numbers in this form: re^(a+bi) to polar form (r,thea)

Writing transform. form of a quad. function in the general form?

Write an equation of the circle described in both the standard form and general form

Vector equations in parametric form and in scalar product form

Need help translating standard form quadratic equations into factored form?

Search Tags