
Classwork 12.5-12.6 July 30, 20 Problem 1: Write as a single logarithom (a) log₂ (x²+6) -...
Please write out and show steps
Problem 9. Find z a) logs b) log, log, 4- log, 8+2 log, 2 c) log, d) log, (r+2)+log, x = log, 24 log,8log, 9-log, 6 T = 3 log, 2+log, 25-log, 20 HEWLETT PAC 144 9% 7 T G H
What is 2logs(5x)+ logs(x+6) written as a single logarithm? logs(25x5 +6 logs(25x) logs25x+logs 2+ log +6 1 (logs 25+logsx)(logsx+6) 3
Each) log 4 (x - 3) = -1 4=x-3 13 13 +3 3= 13 Answer: b.) 6 In 6x = 30 %3D in6X %3D Answer: c.) +10970x +10g|0x log 10 (x + 30) = 3 – log 10 × check 10910 (20+30)= 3:-, 10910 20 10910130)=-10gio (20)13 10giol 50) +10910(20) = 13 to 10910( 50.20) = 103 10910 (Xt30) †109 10X = 3 (V130)(X) = 3 109 %3D T000 1000 (X7 30)X) = 10 X- 20 Answer:
c) log,6-log, (2x + 3)-log, (x + 1) d) 2log, x - 3 + log, (x-2) 2.
6. Solve for x log2 (x + 7) + log 2x-3. a) x+7=3 b) 1 c) not possible x d) none of these 7. Evaluate log, a) x b) c) not possible d) none of these 8. What is the solution of -764? a) -2 b) 0 c) 2 d) 10 9. Find the approximate value of the expression log 16 160 a) 0.54 b) 1.83 c) 2.20 d) 0.9 10. Find the value of the expression 2.5 b) 12.2...
Write the expression as a single logarithm. Express powers as factors. logo - log ex? log 6VX-log 6x2=0 (Type an exact answer. Use integers or fractions for any numbers in the expression.) Writing log aP - log aq +4 logar as a single logarithm results in which of the following expressions? Choose the correct answer below. log (p - q +4r) o 109.(4) o log. ( 10 10g, (+4) aboo Write the following expression as a sum and/or difference of...
solve each equation algebraically:
a) 3+7e^2x=24
b) 2^x+5=7^3x+1
c) 3^(2x) - 3^(x) - 20=0
d) log x + log (x-5)=2
^6 ^6
e) log(x+2)-log(x-1)=1
f) ln(log (x^2 + 2x))=0
^3
d og, 71 Solve each of the exponenti a tions call the as well as a decimal approximation to the nearest the get the approximated solutions Yo d ac t o a) 3+72-24 d) 3 -3-20 - 0 get the approximated solution a) loe +log.-5) = 2
x =-1 ent x= 2.19615 322 x= 2.20 6. Use the change of base formula to approximate the logarithms to four decimal places. Show the logarithmic ratio (fraction) used for your calculations. a) log35 b) log-0.251 c) log, d) log1 7. Solve the logarithmic equation. logs(3t+2) - logst = logs 4
QUESTIONS #1-11 SHOULD BE COMPLETED WITHOUT THE USE OF ANY CALCULATOR!!! 1. Find the solution to the equation in (r? + 3x ) – In 10=0. a) x=5 or x = -2 b) x= -5 or x = 2 c) x = 5 d) x = 2 2. Find the solution to the equation log, 8 c) d) r=2 a) x=512 b) x=24 8 3. Solve for logs d) 0 c) -3 b) 3 a) 6 d) all rational numbers...
15 all parts please!
15. Use Laws of Logarithms to solve the following equations. a) Write the expression as a sum, difference or product of logs. P9 V 7 10g6 pa b) Write the expression as a single log. (loga p-loga 9) + 2 logar c) Solve the equation and give the answer to four decimal places. 31-2x = 4* d) Solve the log equation and give the answer to four decimal places. log.(9x) = 2 - log. (x +...