Question

find the value of x

Answer 1

(i)x=3^5
(ii)x=2^3
(iii)x=2
(iv)x=6
(v)x=3^(-1/2)=1/(√3)
(vi)x=10^(-1/2)=1/(√10)
(vii)x=1/4

Answer 2

Hey there!

1) log x base 3 = 5

so, 3^5=x

x= 243

2) log x base √2=6

x= √2^6

x=2^6/2 =2^3=8

3)log 49 base 7 =x

➫ 7^x =49

x=2

4) log 216 base √6 =x

√6^x =216

6^x/2 =6^3

x/2 =3

x=6

5)log 1/243 base x =10

x^10=1/243

x^10= 3^ -5

x^10= 3^ -5 * -2/-2

x^10=3^10/-2

x=3^1/-2

x = 1/ √3

6)log 0.1 base x =2

x^2 = 0.1

x= 1/√10

7)log 2 base 16=x

16^x =2

2^4x = 2

4x =1

x= 1/4

hope helped!