4^(x+7)=6^(x+1)
answers are
x ≈ 0.04

x ≈ 0.05

x ≈ 19.51

x ≈ 28.35

Question

4^(x+7)=6^(x+1)
answers are
x ≈ 0.04 

 x ≈ 0.05 

 x ≈ 19.51 

 x ≈ 28.35

abb0t · Answer

take the natural log. Remember that:
$$\ln(a)^z=z \ln(a)$$

anonymous · Answer

so do i tske the natural numbers of 4 and 6?

abb0t · Answer

Yes.

anonymous · Answer

4s natural number is 1.38629436112
6s natural number is 1.79175946923
now what do i do?

zehanz · Answer

Take log (or ln, as @abb0t said) on both sides:$$\log 4^{x+7}=\log 6^{x+1}$$Then:$$(x+7) \log 4 = (x+1) \log 6$$Work out the brackets:$$x \log 4 + 7 \log 4 = x \log 6 + \log 6$$Collect terms:$$x(\log 4 - \log 6)=\log 6 - 7 \log 4$$Now $$x = \frac{ \log 6 - 7 \log 4 }{ \log 4 - \log 6 }$$Pull out your calculator and you'll see what the right answer is!

anonymous · Answer

i get -7 when i do that

zehanz · Answer

Be careful with the calculator. If you don't put brackets in the right places, the answer will make no sense. I typed:

(log(6)-7log(4))/(log(4)-log(6)) and got 19.5141355.