Solve algebraically:

ln4+lnx=10

ln(4) + ln(x) = 10

Combine the logarithms using the product rule:

ln(4x) = 10

Now, rewrite the equation in exponential form:

e^10 = 4x

Use the fact that e^ln(y) = y:

e^10 = 4x

Solve for x:

x = e^10 / 4

x ≈ 22026.4657948