Question

3 raised to the power 3x-1 divided by 9 gives 27​

Answer 1

Answer:

heya dear

here your goes like this dear !!

3^(2x+1) / 9 = 27

by transposing 9 from LHS to RHS then it will be ( ×9 )

3^(2x+1) = 27×9

3^(2x+1) = 243

3^(2x+1) = 3^5

bases are equal , so equate powers

2x+1 = 5

by transposing 1 frm LHS to RHS then it will be (-1)

so now , 2x = 5-1

2x = 4

x = 4/2

x = 2

i hope it helped you :)

Answer 2

Answer:

x = 2

Step-by-step explanation:

3^3x-1/9 = 27

3^3x-1 = 3^3 * 3^2                                   [a^m * a^n = a^(m+n)]

3^3x-1 = 3^5

Since bases are same:

3x-1 = 5

3x = 6

x = 6/3

∴x = 2