Explicație pas cu pas:
1) 2ⁿ+¹=2⁶ ==>
n+1=6 ==>
b=6-1
b=5
3²ⁿ+¹=3⁴ ==>
2n+1=4 ==>
2n=4-1
2n=3 ==>
n=3÷2
n=1,5
4⁵ⁿ+¹=4¹¹ ==>
5n+1=11 ==>
5n=11-1
5n=10 ==>
n=10÷5
n=2
5³ⁿ-²=5¹⁰ ==>
3n-2=10 ==>
3n=10+2
3n=12 ==>
n=12÷3
n=4
2) 2ⁿ=8 ==>
2ⁿ=2³ ==>
n=3
3ⁿ=81 ==>
3ⁿ=3⁴ ==>
7ⁿ=49 ==>
7ⁿ=7² ==>
3) 2ⁿ+¹=32
2ⁿ×2=32 ==>
2ⁿ=32÷2
2ⁿ=16
2ⁿ=2⁴ ==>
2ⁿ-³=16
2ⁿ÷2³=16
2ⁿ÷8=16 ==>
2ⁿ=16÷8
2ⁿ=2¹ ==>
n=1
2ⁿ+³=8
2ⁿ×2³=8
2ⁿ×8=8 ==>
2ⁿ=8÷8
2ⁿ=1 ==>
n=0
2ⁿ+⁴=64
2ⁿ×2⁴=64
2ⁿ×16=64 ==>
2ⁿ=64÷16
2ⁿ=4 ==>
2ⁿ=2² ==>
