A scientist collects a bacteria sample that begins with 7 million microbes. The sample doubles in the number of microbes every 30 minutes. The sample can be represented by this exponential equation: y = 7· 2 30 Which of the following represents the equation solved for t? O A. t= 30 log,) O B. t = 30 log(14) O Ct= 30 log() O D. t= 30 log14(y)

Q: Solve to 3 decimal places. log ¿ (3x–4) =8.7 a) b) 4 =9

A:

Q: Express the equation in logarithmic form. (a)    32x = 10   (b)    10−2x = 0.1

A:

Q: express the equation in exponential form  a)log3 (9)=2 b) log3 (1)=0 c)log8 (2)=1/3 d)log5…

A: Given query is to express the equation in exponential form

Q: Express the equation in logarithmic form: (a) e" = 3 is equivalent to In A = B. Then %3D and

A: (a) Given expression. ex=3

Q: Express the equation in exponential form. 1 log, 2 is equivalent to A" = C where 3 A = B = and C = 1…

A:

Q: Show that, log5 x can be expressed as 2 log, x, where b> 0.

A:

Q: Find the value of x satisfying log,, (2×+x– 41)=x (1 – log1,5).

A: It is given that, log10(2x+x-41)=x(1-log105)   Here logarithmic properties are going to be useful to…

Q: Solve for the exact value of x. log, (3x) + 2 log, (6) = 4

A:

Q: Solve the following equation for x. log5(2x) + log5(3x) = 2

A:

Q: x*dx + y C x-) dy =0

A:

Q: Find a formula for the exponential function passing through the points (-1,2) and (1,8) y =

A:

Q: Which of the following is an equivalent equation to 10* = 430? %3D A) log 430 = x C) log, 10 = 430…

A: Logarithm is inverse of exponentiations. A logarithm is easy method to express large number and to…

Q: If log x y=1/6, which one of the following is true?

A: logxy=1/6 here logxy can be written as logy/logx   now logxy=logy/logx = 1/6   logy = (1/6)logx logy…

Q: What is the solution of 4 + 3 log(2x) = 16 ?

A: #  Given equation is          4+3log 2x=16

Q: Express the following equation in logarithmic form. 10 2= = 0.01 %3D - 2 The exponential equation 10…

A:

Q: Solve for the exact value of x. log, (4x) + log, (2) = 4

A:

Q: Which of these are equivalent to log 1? yz?

A:

Q: Express the equation in logarithmic form. (a) e+-0.4 (b) 0.3x-t

A: To express the given equation in logarithmic form: a) ex+3 = 0.4 b) e0.3x=t

Q: Solve the following equation for x. log2 (9x+6)=2+log2(x+3)

A:

Q: If log3 (5) = 3y, log; m² = 6 and 2 log; (4) = 4x then what expression (in terms of x and y) is log3…

A:

Q: 1 (log, x)' 3x ise b =?

A:

Q: The value of log; v8 is 2

A:

Q: The solution set for the equation logx(2x + 3) = log24 is O a. none Оь —1,-3 c. -1,3 Od. 1,-3 O e.…

A:

Q: If log2(3x +7) = 4 then x = ?

A: Given problem is :

Q: Express the equation in exponential form. (a) log5(25) = 2 (b) log5(1) = o

A: Using logarithm properties,we get

Q: Solve the equation for x. a).  log3 (3x-2) = 2                                b).  42x-1 = 8x+3

A: a)given equation is log3(3x-2)=2we know that logn(x)=r can be written as nr=x32=(3x-2)9=3x-2∴x=113

Q: Find the largest value of x that satisfies: log, (22) – log2(x +1) = 2

A:

Q: Solve for a positive value of x. log,(x) = 2

A:

Q: Express the equation in exponential form. (a) log27(3) 3 (b) log10(0.001) = -3

A:

Q: Wilson wants to know how long it will take his $1000 investment to double in an account that is…

A: The equation to represent in exponential equation is -  2 = (1.015)4t We have to solve for 't'.

Q: log3 (x + 1) = log, (x + 8) x =?

A: The graph is shown of below:

Q: Solve for x: a) 52x+1 = 8 b) −4(log2 x)=12

A: Given :         52x+1=8-4log2x=12

Q:

A:

Q: If log x = 6.3 and log y = 8.3, how do x and y compare?

A: If log x = 6.3 and log y = 8.3, how do x and y compare?

Q: log (8m²n³) is

A: to find log (8m²n³)

Q: Choose the logarithmic form of the exponential equation 4° = (5x +4). O log, (5æ + 4) = 9 O log, (5x…

A:

Q: Solve for a: 1 = 1 log4 a 1 1 + + log, a log, a ?

A: Given,          1log2a+1log3a+1log4a=1

Q: 7)Solve for x when log 10x - 2 = log 400 a) 40 b) 400 c) 4000 d) 40000

A: given  log1010x-2=log10400 log1010x=log10400+2log1010x=log10400+log10102…

Q: Express the equation in logarithmic form. (a) ex = 7 (b) e4 = y

A: Take log on both sides of equation, .

Q: 7 log, (u5)

A: We need to evaluate the value of the following expression log557

Q: given log y+3 log(x+2): REWRITE as a single log

A:

Q: The equation log(x+3)+log(x-2)=log(7) solutions are x=-5,1 true or false?

A: We know that , log ( a • b ) = log ( a ) + log ( b )

Q: Solve the following equation for x. log2(12x + 10) = 3 + log2(x + 2)

A: To solve the given equation for x.

Q: 2. Solve for x, to one decimal place. (b) 7* = 35 %3D (a) log, 56 = x

A:

Q: If 0.3x =ab, log a=0.3, log b= 0.4, what is the value of x to the nearest tenth?

A: The logarithmic function is the inverse of the exponential function in a sense. This is because we…

Q: Express the equation in exponential form. (a) log8(2) = (b) log10(0.01) = -2

A: Express the equation in exponential form

Q: Solve the following equations: (a) log x 2 = log(x + 4) (b) 4 3x−1 = 72x+3

A: (a) We have to solve logx2=logx+4 Use logarithmic property logm=logn⇒m=n Hence,…

Q: If c=log 2, what is log 0.8 in terms of c?

A: