posted by .

1. If (x, y) is on the graph f(x) = log(base10)x, state the coordinates (in terms of x and y) that would be on the graph of f(x) = 2log(base10)(x - 4) + 3?

2. Estimate the value of log(base 3)91

Can you please explain how you arrive at the answer since I do't understand them. Thanks! :)

• advanced Functions/ Precalculus Log -

If we call the 2nd function g(x), then
g(x) = 2f(x-4)+3

Not sure what you're after. g is f scaled by a factor of 2 and shifted right by 4 and up 3 units.

As for log_3(91), I'd just say that since log81 = 4, and 91/81 is about 9/8, which is near 1, I'd just say 4.

There are many ways to approximate things. A little better explanation of the tools at your disposal would help.

Note also that log_3(91) = log_10(91)/log_10(3), so that's close to 2/(1/2) = 4.

## Similar Questions

log(base 10)(x+5)+2log(base10) log(base10)(x+5(10 to the 2nd power) log(base10)(100x+500) I love you china.
2. ### mathematics -logs

which three statements are true? a) if x= -10^4 then log 10 = -4 b)if x= 2^8 then log 2x = 8 c) log2 2= 4 d) if x= 3 then log10 3=x e) log 10 256-2log 10 a/log 10 b f)log 10 (a-b)= log 10 a/log 10 b g) the gradient of the graph of
3. ### maths

which three statements are true? a) if x= -10^4 then log 10 = -4 b)if x= 2^8 then log 2x = 8 c) log2 2= 4 d) if x= 3 then log10 3=x e) log 10 256-2log 10 a/log 10 b f)log 10 (a-b)= log 10 a/log 10 b g) the gradient of the graph of
4. ### Precalculus

Verify these answers please. 1. Which of the following functions would f(x) = log(base 10)x horizontally 4 units to the left?
5. ### Precalculus

Given the parent function f(x)log(base10)x, state the equation of the function that results from a vertical stretch by a factor of 2/5, a horizontal stretch by a factor of 3/4, a reflection in the y-axis , a horizontal translation …
6. ### Precalculus

Given the parent function f(x)log(base10)x, state the equation of the function that results from a vertical stretch by a factor of 2/5, a horizontal stretch by a factor of 3/4, a reflection in the y-axis , a horizontal translation …
7. ### Algebra 2

If log(base10)of 2 =0.301 and log(base10) of 3 = 0.477, how would I find a) log(base10) of 8 b) log(base10) of 12 c) log(base10) of 15
8. ### Advanced Functions/ Precalculus Log

1. Evaluate 4^(log base4 64) + 10^(log100) 2. Write 1+log(base2)x^3 as a single logarithm 3. Write log(base b)√(x^3 y z^6) 4. Solve log(base 2)x-log(base 2)6=log(base 2)5+2log(base 2)3 5. Solve 3^(2x) = 9(81^x) 6. Solve 3^(2x)=7^(3x-1). …
9. ### Advanced Functions/ Precalculus Log

If (x, y) is on the graph f(x) = log(base10)x, state the coordinates (in terms of x and y) that would be on the graph of f(x) = 2log(base10)(x - 4) + 3?
10. ### Engineering

How to solve this equation : log(base10)x - log(base10)y = 2

More Similar Questions