Question
Solve algebraically:
In4 + Inx = 10
In4 + Inx = 10
Answers
GPT 3.5
To solve algebraically, we need to isolate the variable x.
First, we combine the natural logarithms using the properties of logarithms:
ln(4x) = 10
Next, we exponentiate both sides using the definition of logarithms:
e^(ln(4x)) = e^10
4x = e^10
Lastly, solve for x by dividing both sides by 4:
x = e^10 / 4
Therefore, the solution to the equation ln(4) + ln(x) = 10 algebraically is x = e^10 / 4.
First, we combine the natural logarithms using the properties of logarithms:
ln(4x) = 10
Next, we exponentiate both sides using the definition of logarithms:
e^(ln(4x)) = e^10
4x = e^10
Lastly, solve for x by dividing both sides by 4:
x = e^10 / 4
Therefore, the solution to the equation ln(4) + ln(x) = 10 algebraically is x = e^10 / 4.