Question

What is the solution to the equation 2 1 + 2x = 3 ?



answers:

x ≈ -0.292
x ≈ -0.185
x ≈ 0.185
x ≈ 0.292

Answer 1

Is it 2(1+2x)=3 or
21 + 2x=3?

Answer 2

is anything missing in the q?

Answer 3

your q has the answer, x = -9

Answer 4

\[
2^{1+2 x} = 3\\
(1+ 2 x) \ln 2 = \ln 3\\
2 x \ln 2 = \ln 3 -ln 2\\
x = \frac{\ln 3 -\ln2}{2\ln 2}
\]
You can finish it now

Answer 5

\[2^{ 1 + 2x} = 3\]

take the base 2 log of both sides

and using the log law

\[\log _{s}(s^n) = n\]

so

\[1 + 2x = \log _{2} 3\]

using change of base... to base e

\[1 + 2x = \frac{\ln(3)}{\ln(2)} \]

\[2x = \frac{\ln(3)}{\ln(2)} - 1\]

\[x = \frac{1}{2}[\frac{\ln(3)}{\ln(2)} - 1]\]

Answer 6

thanks but im still confused how would u solve the next step?

Answer 7

x = 0.292

Answer 8

pick up a calculator base e logs are ln on a calculator

Answer 9

ok will do i need to find it tho haha hank you tho campbell and aj and others ur help is greatly appreciated.