4^(3-x)=7 showing all steps
its okay I have it 1.596322539
Agreed
As long as you can also show the steps!
To solve the equation 4^(3-x) = 7, follow these steps:
Step 1: Take the logarithm of both sides.
log (4^(3-x)) = log (7)
Step 2: Apply the logarithm property:
(3-x) * log(4) = log(7)
Step 3: Divide both sides by log(4) to isolate (3-x):
3 - x = log(7) / log(4)
Step 4: Simplify the right side by calculating log(7) and log(4) using a calculator:
3 - x ≈ 1.356207 / 0.60206
Step 5: Divide to find the value of x by subtracting 3 from both sides:
-x ≈ 1.356207 / 0.60206 - 3
Step 6: Simplify the right side calculation using a calculator:
-x ≈ -3.247, approximately.
Step 7: Multiply both sides by -1 to solve for x:
x ≈ 3.247
Therefore, the solution to the equation 4^(3-x) = 7 is x ≈ 3.247.