9^X + 9 = 10,3

Answer 1

To solve for X, we need to isolate the exponential term first.

Subtracting 9 from both sides, we get:

9^X = 1.3

Now, we can express 1.3 as 13/10:

9^X = 13/10

Taking the logarithm of both sides can help us solve for X:

log(9^X) = log(13/10)

Using the logarithmic property log(a^b) = b * log(a):

X * log(9) = log(13/10)

Dividing both sides by log(9) to solve for X:

X = log(13/10) / log(9)

Using a calculator to compute the value:

X ≈ 0.146128

Therefore, X ≈ 0.146128.