12(2)^x+3+6=42 (X+3 is raised to the power of 2 only)
In what you wrote, I don't see (x+3) being raised to the power of 2. I see 2 being raised to the power of (x+3).
Please try again to write or describe the situation more clearly.
oops that's what i meant!
To solve this equation, follow these steps:
Step 1: Simplify the equation to isolate the exponential term.
12(2)^x + 3 + 6 = 42
12(2)^x + 9 = 42
Step 2: Move the constant term to the other side of the equation.
12(2)^x = 42 - 9
12(2)^x = 33
Step 3: Divide both sides of the equation by 12 to isolate the exponential term.
(2)^x = 33/12
(2)^x = 11/4
Step 4: Take the logarithm (base 2) of both sides to solve for x.
x = log₂(11/4)
To find the value of x, we will use a calculator or a logarithmic table.
Using a calculator:
x = log₂(11/4) ≈ 1.207
Using a logarithmic table:
Refer to the logarithmic values for log₂(1.375) and estimate the value of x to be approximately 1.207.