TABLE OF CONTENTS
Solve the following exponential equation for y: 7y + 1 = 3x + 3
Take the log of both sides, but which log?
y = log7 (3x + 3) – 1
Find x in the following exponential equation. Do not simplify to decimals: 4 × (ex) + 10 = 20
Isolate x in exponent first.
x = ln 10/4
What value of x fulfills the following equation: log10 10 = x
What does x represent in the exponential form?
What value of x fulfills the following equation: log3 1 = x
Any (arguably non-zero) number can be raised to a particular value to yield one. What power is it?
Is the following logarithmic equation valid for any one value of x: log10 x = -3
Can a base have a negative exponent?
Yes. x is simply
Simplify the following exponential equation for y: ey + 4 – 15 = x2
Isolate y in exponent first.
y = ln(x2 + 15) – 4
Solve the logarithmic equation for . Do not simplify to decimals.
Evaluate the following log equation for x = 3, to three decimal places: y = log3 (x2) + log3(2x + 3) + log38x
Try separating or simplifying logs before solving them.
y = 6.893
Evaluate the following log equation for x = 5, to three decimal places: y = ln3x + lnex
One ln can be simplified first.
y = 7.708
Evaluate the following log equation to three decimal places using only base-10 logarithmic functions: y = log3 13
Use the change of base formula.
Write the following logarithmic equation in base 10 form: log417
Write the following logarithmic equation in base 10 form: ln 4x
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