You probably have a yx button on your calculator. Use it.
Or, note that (2/3)^x = e^(ln(2/3)*x) = e^(-0.4055x)
Now you can use your e^x button to evaluate the expressions.
And it's pi, not pie!
g(x) =(2/3)^x-1
g(1.5)=
g(square root of 3)=
g(2pie)=
g(-4/5)
Or, note that (2/3)^x = e^(ln(2/3)*x) = e^(-0.4055x)
Now you can use your e^x button to evaluate the expressions.
And it's pi, not pie!
1) g(1.5):
To find g(1.5), substitute 1.5 for x in the function:
g(1.5) = (2/3)^(1.5 - 1)
Using a calculator, calculate (2/3)^(0.5) and round the answer to three decimals.
2) g(square root of 3):
To find g(square root of 3), substitute sqrt(3) for x in the function:
g(sqrt(3)) = (2/3)^(sqrt(3) - 1)
Using a calculator, calculate (2/3)^(sqrt(3) - 1) and round the answer to three decimals.
3) g(2Ï€):
To find g(2Ï€), substitute 2Ï€ for x in the function:
g(2Ï€) = (2/3)^(2Ï€ - 1)
Using a calculator, calculate (2/3)^(2Ï€ - 1) and round the answer to three decimals.
4) g(-4/5):
To find g(-4/5), substitute -4/5 for x in the function:
g(-4/5) = (2/3)^(-4/5 - 1)
Using a calculator, calculate (2/3)^(-4/5 - 1) and round the answer to three decimals.
Note: Remember to use parentheses when entering the exponent and use the exponentiation feature of your calculator to calculate the power.