(c) Without using your calculators, show that Σ 1 log10 (1+ 5) = 1. D=1

Q: Approximate the function at the value of x to four decimal places.

A: Given fx=log2x2+1-10-x x=1.95

Q: 1. Show all steps to solve for x log3 (log5 (4x + 1)) = 0.

A: We need to find out the value of x.

Q: Solve the following: 3 log () – (3 +0) = log(10m³n) %3D |

A: Disclaimer: Since you have asked multiple questions, we will solve the first question for you. If…

Q: The solution to log₃(log₂x) = 1 , is:   A. x=4 B. x=8 C. x=1 D. x=2

A: Formula: If logab =c  Then b=ac

Q: Solve the equation for x: log20 x + log20 (x – 1) = 1. -

A:

Q: Solve for x (here log = log10): A B x = 10 x = 50 C x = 100 D x = 500 log(x) log(5) = 2

A: The given logarithmic equation logx-log5=2. We have to solve the value of x.

Q: Express Log (2) in Cartesian form (x+iy). Justify all of your steps.

A: Here we can use the formula  Logz=12logx2+y2+i tan-1yxwhere z=x+iy

Q: If log3 (x + 2) = 2, the value of 'x' is..... %3D

A: If logam=n then m=an

Q: 4. Find the domain of the log function. y = In((7 – x)(x + 10)) Use a sign chart.

A:

Q: Find the y-intercept of the function f(x)=log5 (1-7x²).

A: On solving ,we get

Q: Isolate x in the following equation: log5 x + log3 x = 4

A: Defination of exponential and logarithmic function -: For a positive real number x , y=logax if and…

Q: Prove: logaxr = r loga x.

A: Given equation: loga xr=r loga x

Q: 4. log (8) + log () 4.

A:

Q: 1. Solve for the following for x: Log6(x+2) = 2

A: We have to solve

Q: 7. Solve for x using log properties: log(5x) – log(x² - 2) = 1 |

A:

Q: Find fdz 7 log(x) + C

A:

Q: (e). log 2 2 (-) ² = 2k = 2

A: Using properties of logarithms

Q: (ii) Form the PDE by elimınatıng arbitfary log z=a log x+ V1-a' log y+ b

A:

Q: Let x = log 3 and y = log 4. Express the following in terms of x and y.     Please provide all…

A: