exponents and logs

Rewrite in exponential form:

log₉x=2

• 9^x=2

• 2^x=9

• 2⁹=x

• 9²=x

Write 6^x = 8 in log form.

• log₆ 8 = x

• log₈ 6 = x

• log₆ x = 8

• log₈ x = 6

Write 3 = 7^x in log form.

• log₇ 3 = x

• log₃ 7 = x

• log₇ x = 3

• log₃ x = 7

Rewrite 3⁴ = 81 in logarithmic form.

• log₃4 = 81
• log₈₁3 = 4
• log₃81 = 4
• log₄81 = 3

Solve for x:

log₅(4x-7)=log₅(x+5)

• 3

• 12

• 4

• 7

Solve for x:

log₄(x+1)- log₄(x)=log₄(8)

• 7

• 9

Solve for x:

log₅ (x + 3) = log₅ x + log₅ 3

• 3/2

• 9/2

• 2/3

• No Solution

Solve for x:

log₂(2) + log₂(8x) = 6

• x = 3

• x = 2

• x = 6

• x = 4

Solve:
log₉(x)+log₉(x+2)=log₉(35)

• 5
• -7
• 5, -7
• -7, -13

Find the inverse of the function y=4^(x+1)-1

• y^-1=log₄(x+1)-1

• y^-1=log₄(x-1)+1

• y^-1=log₄(y+1)-1

• y^-1=log₄(x)