log (3x9) = 2log3  log27+ log(x+3)
Solving the euqation using the properties of logarithms
How do you do this?
 👍
 👎
 👁
 ℹ️
 🚩
1 answer

I will assume that all logs have the same base.
log(3x 9) = log [3^2*(x+3)/(3^3]
= log[(x+3)/3]
Therefore
3x 9 = (x+3)/3
9x 27 = x +3
8x = 30
x = 3.75
Check:
log (3x 9) = log 2.25 = 0.35218
2log3 log27 + log(6.75)
= 0.95424 1.43136 + 0.82930
= 0.35218
It makes no difference what log base you choose, as long as it is the same for all terms. (I chose base 10 when checking) 👍
 👎
 ℹ️
 🚩
answered by drwls
Answer this Question
Related Questions

physics
A 220kg log is pulled up a ramp by means of a rope that is parallel to the surface of the ramp. The ramp is inclined at 26.6° with respect to the horizontal. The coefficient of kinetic friction between the log and the ramp is 0.863, and the log has an

precal
Some biologists model the number of species S in a fixed area A (such as an island) by the speciesarea relationship log S = log c + k log A where c and k are positive constants that depend on the type of species and habitat. (a) Solve the equation for S.

chemistry lab
Here are 2 questions I worked out, but need them checked. Also, can't get answer to another question correct unless question 1 is correct. Would you check the first 2 and help me with the third? 1) What is the pH of a 0.05 M solution of TRIS acid (pka =

math
Calculate without using tables or calculators log 450 and log 324 given log 2 =0.3010 and log 3 =0.4771

maths
if a=log 7, b=log 2, express log 35 in terms of a and b?

Chemistry
Find the pH of each mixture of acids. 0.020 M HBr and 0.015 M HClO4. They are both strong acids Si they dissociate completely. Si do I just add 0.020 and 0.015 and take the log of that concentration to get the pH? Like thus.... 0.020+0.015=0.035

Math algebra
Write the following as a sum and/or difference of logarithms log((∛x^2+1)/(x^21))

precalc
Suppose that u=log(2) and v=log(5). Find possible formulas for the following expressions in terms of u and/or v. Your answers should NOT involve any log's. a) log(0.4)= b) log(0.08)= c) log(2500)=

Math/trig
Log radical b/ a^2 is equivalent to 1) 1/2 log b + 1/2 log a 2) l/2 log b 2 log a 3) 2 log b  1/2 log a 4) 1/2logb/2 log a

college algebra
Solve the logarithmic equation. Log x +log2x = 4 Wouldn't this be no solution because log x is undefined?

physics
A log is floating on swiftly moving water. A stone is dropped from rest from a 84mhigh bridge and lands on the log as it passes under the bridge. If the log moves with a constant speed of 3.6 m/s, what is the horizontal distance between the log and the

algebra
Find value of log (base 8)log (base 2) log (base 3)log (base 3) (27)^3 I endedup with 1.000063462 which was wrong

Mathematics
1/2 log 8 + log 32  log 2 all in base 4

math
if log x base a,log y base a and log z base a are three consecutive terms of an AP,show that x,y and z are consecutive terms of a GP

Maths
evaluates log 0.225base10 if log 3 base10=0.477and log5base10=0.699?

addmaths
express y in terms of x \log _(8)y=\log _(2)x

Maths
Pls help me out on this question, Find the sum of this first 8 terms of the Arithmetic Progression. log x, log x2, logx3

maths
log base 2 log base 2 log base 3 27 to the power 3

physics
A 190kg log is pulled up a ramp by means of a rope that is parallel to the surface of the ramp. The ramp is inclined at 32.0° with respect to the horizontal. The coefficient of kinetic friction between the log and the ramp is 0.876, and the log has an

Math
Write each logarithmic expression as a single logarithm: Log 2 + 3 log 1
Still need help?
You can ask a new question or browse existing questions.