Fill in the missing values to make the equations true. (a) log 5 + log, 8 = 7 (b) log-log 3 = log4 log (c) log, 2 27 = log, 3 log 00 X

Q: 5. Rewrite as a single logarithm: logs (r) + log, (1) - 3 log, (z - 2))

A: We can solve the problem by applying properties of logarithm.

Q: Simplify:

A:

Q: log, 81 = 4log, |

A:

Q: Solve the equation for x: log, (x-5)+log, (x+3) =1

A: Consider the equation: log9x-5+log9x+3=1. Apply the log property logab+logac=logabc…

Q: Write an expression equal to log, (5) + log,(6) using at most one log.

A:

Q: Given log2 A + log2 B = 5, calculate all the possible integer values of A and B. Explain your…

A: Note: for any a>0, b>0, c>01) loga(b)+loga(c)=loga(bc)2) If logab=c then b=ac

Q: (a) log, 8 - log, 5 log, (b) log, 3 + log₂= log₂ 21 (c) - 4log, 3 = log,

A: (a) log38-log35=log3_ (b) log23+log2_=log221 (c) -4log93=log9_ We have to fill in the missing…

Q: Express single logarithm and simplify: 4. as a 3 logą(a + b) + 2 log4(a+ b) – log4c, a +b > 0,c > 0

A: Let's find.

Q: Evaluate log abc 3 6 If a² = b³ = c5 = dº

A: To evaluate logdabc if a2=b3=c5=d6.

Q: Simplify: log, 16. log, 25. log 5 1 49 -16 -12 8 14 -18

A:

Q: (3x + 1) log6 = (2x-3) log2

A: To solve the equation(3x+1)log6=(2x-3)log2

Q: 64 16 log a 64 + 8 log 64 + 4 log 64 + · · 3

A:

Q: If x=log b5 and y= log b2, express log 50 in terms of x and y. log +50= (Simplify your answer.)

A: Given query is to express logarithmic term as x and y.

Q: Question 20:  In a certain school district, it was observed that 30% of the students in the element…

A: Given,n=346x=125p^=xnSamle Proportion p^=125346=0.3613α=0.01