How do I put log in a TI-84 calculator.
#1.Express the logarithm in terms of log2M and log2N:
log2(MN)4
#2. Express the logarithm in terms of log2M and log2N:
log2 the cube root of M2N
#3. Express the logarithm in terms of log2M and log2N:
log2 (M/N)7
#4. Express the logarithm in terms of log2M and log2N:
log2 1/MN
#5. Simplify:
log4 3 - log4 48
#6. Solve the equation:
loga x = 3/2loga 9 + loga 2
#7. Solve the equation:
logb (x2 + 7) = 2/3logb 64
#8. Solve the equation:
loga (3x + 5) - loga (x - 5) = loga 8
In my Ti83 you have your choice of log key which is log base ten and ln key which is log base e
1.
log (4 M N) = log 4 + log M + log N
or perhaps you mean
log (MN)^4
which is
4 (log M + log N)
2.
do you mean M^2 N ????
(1/3)(2 log M + log N)
3.
(1/7) (log M - log N)
These are all the same. I am bored.
To put logarithms in a TI-84 calculator, you'll need to use the log() function. Here's how you can solve each of the given problems:
#1. Express the logarithm in terms of log2M and log2N:
To express log2(MN)4 in terms of log2M and log2N, you can use the logarithmic identity log(xy) = y * log(x). So, log2(MN)4 becomes 4 * log2(MN), which can be entered into the calculator as 4 * log(MN)/log(2).
#2. Express the logarithm in terms of log2M and log2N:
To express log2(cube root of M2N) in terms of log2M and log2N, you can use the property log(ab) = log(a) + log(b) and log(a^b) = b * log(a). So, log2(cube root of M2N) can be written as log2((M^2N)^(1/3)), which equals (1/3) * log2(M^2N). This can be entered into the calculator as (1/3) * log(M^2N)/log(2).
#3. Express the logarithm in terms of log2M and log2N:
To express log2(M/N)7 in terms of log2M and log2N, you can use the property log(a/b) = log(a) - log(b). So, log2(M/N)7 becomes 7 * (log2(M) - log2(N)), which can be entered into the calculator as 7 * (log(M)/log(2) - log(N)/log(2)).
#4. Express the logarithm in terms of log2M and log2N:
To express log2(1/MN) in terms of log2M and log2N, you can use the property log(1/x) = -log(x). So, log2(1/MN) becomes -log2(MN), which can be entered into the calculator as -log(MN)/log(2).
#5. Simplify:
To simplify log4 3 - log4 48, you can use the property log(a/b) = log(a) - log(b). So, log4 3 - log4 48 becomes log4(3/48), which is equivalent to log4(1/16). This can be entered into the calculator as log(1/16)/log(4).
#6. Solve the equation:
To solve the equation loga x = 3/2loga 9 + loga 2, you can use the logarithmic property log(a^b) = b * log(a). So, the equation becomes loga x = loga (9^(3/2)) + loga 2, which simplifies to loga x = loga 27 + loga 2. This equation can be entered into the calculator as log(x)/log(a) = (log(27)/log(a)) + (log(2)/log(a)).
#7. Solve the equation:
To solve the equation logb (x^2 + 7) = 2/3logb 64, you can use the logarithmic property log(ab) = log(a) + log(b). So, the equation becomes logb (x^2 + 7) = logb (64^(2/3)), which simplifies to logb (x^2 + 7) = logb 16. This equation can be entered into the calculator as log(x^2 + 7)/log(b) = log(16)/log(b).
#8. Solve the equation:
To solve the equation loga (3x + 5) - loga (x - 5) = loga 8, you can use the logarithmic property log(a/b) = log(a) - log(b). So, the equation becomes loga ((3x + 5)/(x - 5)) = loga 8. This equation can be entered into the calculator as log((3x + 5)/(x - 5))/log(a) = log(8)/log(a).
By following these steps, you can input the logarithmic expressions and equations into your TI-84 calculator.