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Conversion

100

What is log₃x = 4 as an exponent?

3⁴=x

200

What is log x  = 2 in exponential form?

What is 10²=100

300

What is 3⁵=x as a logarithm?

What is log₃x = 5

400

What is 4^x+1= 12 as a logarithm?

What is log₄12=x+1

500

What is e¹² = y as a logarithm in terms of ln?

What is ln(y) = 12

Ln

100

What is x when ln(x) = 0

What is 1 / What is e⁰

200

What is x is ln(x+4) = 3

What is e³-4

300

What is x when ln(2x+3) = 12

What is (e¹²-3)/2

400

What is x when 4ln(3x+1) = 8

What is (e²-1)/3

500

What is x when 3(1-ln(2x))= -12

What is e⁵/2

X as an exponent

100

What is x when 2^x= 8

What is 3 /  What is ln(8)/ln(2)

200

What is y when 3^y+1=9

What is 1 / What is (ln9/ln3)-1

300

What is x when 2e^4x= 10

What is (ln5/lne)/4  or ln(5)/4

400

What is x when 3*2^x-3= 15

What is (ln5/ln2)+3

500

What is x when 3^3x+4=16

What is ((ln16/ln3)-4)/3

Log

100

What is x when log₄x = 3

What is 4³ or 64

200

What is x when log_x16 = 4

What is 2

300

What is x when log₃(x+2) = 2

What is 7

400

What is x when log₃(x+1) + log₃4 = log₃10

What is 3/2 or 6/4

500

What is x when log₂(x+5)- log₂(x+2) = 2

What is x =1

Log Rules

100

Condense log₃x+log₃12

log₃12x

200

Condense 2log₃x+log₃(x+3) - log₃12 

What is log₃((x³+3x²)/12)

300

Expand log₁₀(3x/4)

What is log₁₀3 +log₁₀x - log₁₀4

400

Expand log₅((x³y²)/4)

3log₅x +2log₅y - log₅4

500

Condense 2log₄2 + 6log₄x - (log₄y)/2

What is log₂(4x⁶/y^1/2)