What is the solution to the equation 14^ (x + 3) = 21 ?
x ≈ –2.133

x ≈ –1.846

x ≈ 3.867

x ≈ 4.154

Question

What is the solution to the equation 14^ (x + 3) = 21 ? 
 x ≈ –2.133

x ≈ –1.846

x ≈ 3.867

x ≈ 4.154

cwrw238 · Answer

(x+3) ln 14 = ln 21
x+3 = ln 21 / ln 14 = 1.154
x = -2.154

cwrw238 · Answer

oops - sorry  
its -4.154

anonymous · Answer

$$\Large \log(14)^{x+3}=\log(21)$$

$$\Large (x+3)\cdot \log14=\log21$$

$$\Large (x+3)=\frac{\log21}{log14}$$

$$\Large x=\frac{\log21}{log14}-3$$

use calculator and you'll get...


$$\huge x\approx -1.84$$

cwrw238 · Answer

what!! - i'm wrong the second time!!
x = 1.154 - 3 = -1.846

anonymous · Answer

actually it is - 1.84.
thank you.

anonymous · Answer

Here's proof

cwrw238 · Answer

yw - i cant do simple algebra today!!! lol

anonymous · Answer

@cwrw238 It's important  that you know to solve it (you know how it goes...)  in calculations everyone makes mistakes ! .... that's normal. We're not robots!

cwrw238 · Answer

right