Question

Help pic included

Answer 1

Pic

Answer 2

which one u need help wit?

Answer 3

10

Answer 4

well really all of them but just 10 lol

Answer 5

o i dont know much about logs sryy...

Answer 6

ahh ok

Answer 7

@kropot72 do you know how to do these

Answer 8

10.
\[\log_{x-5} 0.001=-3\]
Therefore using the laws of logs:
\[(x-5)^{-3}=0.001\ ............(1)\]
Equation (1) can be rewritten as:
\[\frac{1}{(x-3)^{3}}=0.001\ ........(2)\]
Cross-multiplying (2) we get:
\[(x-5)^{3}=\frac{1}{0.001}=1000\ .......(3)\]
Taking the cube root of both sides of (3) gives:
x - 5 = 10 .......(4)
Can you solve (4) to find x?

Answer 9

\( \Large
\log_{x-5}0.001 = -3 \\ \Large
(x-5)^{-3} = 0.001 = (10)^{-3} \\ \Large
x - 5 = 10
\)

Solve for x

Answer 10

x=5?

Answer 11

x = 15.

Answer 12

wow thanks!

Answer 13

howd you get the 10

Answer 14

If the exponents on either side of the equal sign are the same then the base must be the same.
(x-5)^-3 = 10^-3
x - 5 = 10
x = 15

Answer 15

\[\sqrt[3]{1000}=10\]

Answer 16

can you help me with another one