TABLE OF CONTENTS
Evaluate exponential function y = 3x + 2x – 4 – 2x – 2 for x = 4 without using a calculator
Solve each term individually.
y = 78
Evaluate exponential function y = 1000.75x101.5x – 3 for x = 2 without using a calculator
Find a common base and combine first.
y = 1000
Evaluate exponential equation exy = e2x + 4 for x = 5 to three decimal places.
Isolate y first.
y = 8103.084
Solve for x in the exponential equation: 32x + 1 = 9x
Find common base first.
x = 1/8
Simplify the following equation: y = 16/(4x)
A denominator can be brought to the numerator by switching the sign of the exponent.
y = 42 – x
Solve for x in the exponential equation: 9-5x917x = 100 to three decimal places.
Combine exponents first.
x = 0.175
Solve the exponential equation for x to three decimal places: 1500(1.73)2x = 2500
Isolate x first.
x = 0.466
Solve for x in the exponential equation:
Change the exponent of the right hand side to begin.
x = -0.5
Solve for x in the exponential equation: e4x = e9x – 4
Use natural log.
Simplify the following equation: 10xy = 1004xy – 2
Make it rain.