Question

please help

Exponential and Logarithmic Equations
solve each equation. Give an exact solution.
log(base5)^(x+1)-log(base5)x=2

Answer 1

@ganeshie8

Answer 2

use log property :

\(\large \log_a M - \log_a N = \log_a (\frac{M}{N})\)

Answer 3

\(\large \log_5 (x+1)-\log_5 x=2\)

becomes :

\(\large \log_5 \frac{x+1}{x}=2\)

Answer 4

\[\log_{a}b=c] b=ac right

Answer 5

close! but not exactly... below is the correct property :

\(\large \log_a b = c \iff b = a^c\)

Answer 6

apply that, wat do u get ?

Answer 7

x+1/x=5^2

Answer 8

excellent ! solve \(x\)

Answer 9

cross multiply?????

Answer 10

\(\large \frac{x+1}{x} = 5^2\)

\(\large \frac{x+1}{x} = 25\)

Answer 11

yes cross multiply

Answer 12

x=1/24

Answer 13

1/24 is \(\large \color{red}{\checkmark} \)