Solve algebraically:

In4+Inx=10

ln(4) + ln(x) = 10

Combine the natural logarithms using the properties of logarithms:

ln(4x) = 10

Rewrite in exponential form:

4x = e^10

Divide by 4:

x = e^10 / 4

Therefore, x = e^2.3026 ≈ 10.00.