TABLE OF CONTENTS
Combine the following log functions into one function: log 4 + log (x – 3) + log (2x + 4)
Remember to use FOIL.
log (8x2 – 8x – 48)
Is the following expansion of a logarithmic function correct: log (9x + 4) = log 9x + log 4
Try solving the logs for a specific value of x.
No. You cannot separate terms in a logarithm into individual logarithms.
Is y = log4 16 equivalent to y = 2 log4 8?
Convert them to exponential forms to see if this equivalence makes sense.
No! It is equivalent to y = 2 log4 4.
Combine the following log functions into one function: log 7 – log 8x – log (4x + 6)
Use the difference of logarithms property.
Combine the following log functions into one function: log (x2) + log y – log y2
Use the difference and sum of logarithms properties.
Simplify the following equation: xe4xe-7x = y
Try combining first and then using one of the logarithmic rules.
y = ln x – 3x
Expand the following log equation, and write it using only base-10 logarithmic functions: y = log7 (5x – 4)(2x + 3)
Use the change of base formula.
Expand the following log function: log5 4xy
Use the sum of logarithms property.
log5 4 + log5 x + log5 y
Expand the following log function, then simplify irrationals to three decimal places:
A square root is equivalent to a power of .
Simplify the following log function to a form without exponents, then change to base 10: y = log7 100x2
How can you pull the exponent outside of the logarithm?
Convert the following exponential equation to natural logarithmic form, then simplify irrationals to three decimal places: y = ex4x
Start by taking the natural log of both sides, then separate the log.
ln y = 2.386x
Simplify the following log function: log (x2 + 4x + 4)
There's a quadratic inside the log.
2 log(x + 2)
Simplify the following log function and solve for z: 4 = log x2 + log y + log z
Use the exponential form.
Expand the following log function: ln (4x2y/z1/2)
Try separating into four natural logs to start.
Make it rain.