(1/4)³=1/64 In log form

Solve

log₃₅+log₃x=log₃10

log₃(5x)=log₁₀2

5x=10

5x/5=10/5

x=2

Solve

log₁₀16-log₁₀(2t)=log₁₀2

log₁₀16/2t=log₁₀2

16/2t=2

16/2t(2t)=2t(2)

16=4t

16/4=4t/4

t=4

Solve

log₂n=1/4log₂16+1/2log₂49

log₂n=log₂(16)1/4+log₂(49)1/2

log₂n=log₂2+log₂7

log₂2(7)=log₂14

n=14

Solve

log₂16

log₂16=y

16=2^y

2⁴⁼2^y

y=4

Solve

log₁₆4

log₁₆4=y

4=16^y

16^1/2=16^y

y=1/2

Solve

log₂1/32

log₂1/32=y

1/32=2^y

2^-5=2^y

y=-5

Solve

log₁₀.001

log₁₀.001=y

.001=10^y

10^-3=10^y

y=-3

Solve

log₃27^x

log₃27^x=log₃(3³)^x

log₃3^3x=3x

log₃27^x=3x

Solve

log₂₅n=3/2

log₂₅n=3/2

n=25^3/2=(25^1/2)³

n=5³=125

Solve

log₁₀(x²+1)=1

log₁₀(x²+1)=1

x²+1=10¹=10

-1        -10

x²=9^1/2

x=3

Solve

4^3p=10

4^3p=10

4^3p=log(10)

log(4^3p)=1

3p(log4)=1

p=1/3log4

p=.5537

Solve

log₅20

Solve

log₃8

Solve

3 log₅x-log₅4=log₅16

log₅x³-log₅4=log₅4=log₅16

log₅x³/4=log₅16

x³/4=16

x³=64

x=4

Solve

log₄n=5/2

n=4^5/2

n=(2²)^5/2

n=2⁵=32

Solve

log₂64

log₂64=y

64=2^y

2⁶=2^y

y=6

Solve

3^x=11

3^x=11

log3^x=log(11)

x log(3)=log(11)

x=log(11)/log(3)

x=1.0414/.4771

x=2.1828