## cypress 3 years ago log3(5)+log3x=log3(10)

1. mathslover

ok so here base is same

2. mathslover

$\large{log_a(b)+log_a(c)=log_a(bc)}$

3. mathslover

can u write the given question in this form ?

4. DHASHNI

log3(5)+log3x=log3(10) => log3 (5 X 3x ) =log3(10) =>log3(15x) =log3(10) =>15x=10 =>x=2/3

5. mathslover

i think u did a mistake some where @DHASHNI $\large{log_3(5)+log_3(x)=log_3(5*x)}$but it is given equal to $$\large{log_3{10}}$$ $$\large{\log_3(5x)=log_3(10)}$$ $$\large{5x=10}$$ $$\large{x=\frac{10}{5}=2}$$

6. cypress

yes

7. mathslover

got it @cypress

8. cypress

|dw:1342329547945:dw|

9. mathslover

|dw:1342329722027:dw|

10. DHASHNI

@mathslover : yeah ,,, thanks

11. mathslover

.np :)

12. cypress

13. mathslover

why not to try understand this ? http://www.wolframalpha.com/input/?i=2e%5Ex-5%3D1&t=crmtb01

14. mathslover

x=log(3)

15. DHASHNI

|dw:1342329851620:dw|

16. mathslover

gr8 work @DHASHNI

17. DHASHNI

:)

18. jiteshmeghwal9

Use the property$\LARGE{\log_{n}{a}+\log_{n}{b}=\log_{n}{a+b}}$