00 dx 2- So V- log x

Q: (log a)* d.x 1+x²

A: Given ∫0∞logx41+x2dx we can write the above as…

Q: A. Logarithmic and Exponential Functions 1. y = log 2. t= In tan (; +) 3. y = In (e²x²)

A:

Q: (log3 (x² + 5)) = %3D dz

A:

Q: Show that : log (1+ x) 1+x? dx = log 2 8

A:

Q: Evaluate / dx (x+2)²–49 O None to log() x-5 x+3 log() -5 x+7 ts log() x-5 x+9

A: We have to evaluate: ∫dxx+22-49

Q: d (4 log4(x) + 13) dx Find

A: Given, ddx4log4x+13  We have to find the derivative.

Q: [tan*dog a) * dx x) x(1+log?: tan (log x) 8. 2

A:

Q: D log (xag) + log (xl)

A:

Q: log(x³) dx

A: Consider the integral: ∫logx3xdx…

Q: Solve: x a + y = logxsin(logx). dx

A:

Q: 25łn²(x) log (x) dx

A:

Q: Solve for r: log(z) + log(x + 2) = 9 You may enter the exact value or round to 4 decimal places.

A:

Q: log3(x) dx

A: Given integral is ∫ 3x2+log3xdx. Consider u= 3x2.

Q: h the function y = log2(x – 3)

A:

Q: 2. y = loga(x³ + 2x – 2)

A:

Q: D In10 In[log(x+1)] + C

A:

Q: y = /logx Vlogx dy A. dx 2xln10 dy dy С. dx dy D. dx 2x Vlogx dx 2x In10 /logx 2xln10 In10/logx B.

A: SOLUTION-

Q: dy/dx of log5(y2-y) + csc-1 (x/π) = -3y

A:

Q: Find and simplify whenever possible. dx y = log10(x² + 1)² ||

A:

Q: log2 (x + 3) + 1log,(х — 1) 3D 1og2 12

A:

Q: rlnr y = 1+ Inr y = log,(r² + 3r) + x log r

A:

Q: [32x + log (x) dx = %3D

A:

Q: s (x+1) log(x+1)

A:

Q: Solve for x accurate to three decimal places.

A: Solve for x accurate to three decimal places.  50001+e2x=2

Q: d (log4 Vsin x) dx

A: We have to find dlog4sinxdx.

Q: y = log₂ (1+x²)

A:

Q: y=log33/x+3/x

A:

Q: 12) logb xy2 64

A: Question number 12,Given,         logbxy2z9

Q: Log sqrt x*yz

A: We will evaluate the given logarithmic expression as shown below

Q: log (x+8) ) dx 3

A:

Q: ' log2x dx 62.

A: Given integral, ∫14log2xxdx

Q: r(x) = 5 log4 (3x + 10)

A:

Q: y= log2x

A:

Q: Differentiate. y= log (x +x) log (x +x) = D dx

A: We can solve the differentiation as below.

Q: dz Solve dx log (log 2)². z =

A:

Q: 38. f(x) = log1 x 50

A: The given function fx=log15x. Substitute x=1,2,5 in fx=log15x:…

Q: 2 In 2 log2 x dx 7- S

A: Here I am attaching image so that you understand each and every step.

Q: log x = 11/4 x=

A:

Q: 0/= log10 (x) dx

A:

Q: 10 y =x X log. Cax+1) logon Do

A:

Q: d (3 log6(x) + 20) dx Find

A:

Q: dx Express your answer in logarithmic form. x2 + ax

A: ∫dxx2+ax

Q: e) log(x + 5) + log(x) = log(6)

A:

Q: -9 2 log10(x+1) Evaluate dx x+1

A:

Q: log 4z a tall var I

A:

Q: 69. y = log;(x – 1) – 2

A: Question number 69,Given,          The function is y=log3x-1-2.

Q: Solve the equation for x .   a) ln( x + 1) + ln( x - 1) = 1  b) log5(c x)= d

A: Part (a) - lnx+1+lnx-1 = 1lnx+1x-1 = 1                                  lnab = lna+lnblnx2-1 = 1…

Q: 10 log 10 (10x) dx 1 10

A:

Q: log3 (x°. VY16)

A: Given,         log3x9y163

Q: log X +1 Rind R'a (x) %3D

A: Inverse of function problem....